What is the factorial of 4001? (4001!) 4001 Factorial

What is the factorial of 4001?

Here we will show you how to calculate the factorial of 4001 (aka 4001 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 4001 can be written as 4001 followed by an exclamation mark like this: 4001!

Factorial of 4001 means that you multiply 4001 by every number below it. Therefore, you calculate the factorial of 4001 by multiplying 4001 by 4000, then by 3999, and so on all the way down to 1. In other words, we calculate 4001 × 4000 × 3999 × ... × 1 to get 4001 factorial.

The answer to 4001 factorial (4001!) contains 12677 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 4001 factorial:

7.3170366080 × 10¹²⁶⁷⁶

The answer above is also sometimes written as 7.3170366080e+12676. Regardless, it means that the approximate answer to 4001! is 73170366080 followed by 12666 more digits.

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Like we promised, below is the exact answer to 4001 factorial (4001!) with all 12677 digits:

73170366080077741182722874454712500959137282206324873180455172343790048151690682636766331517768806913453108609318711572590444519908035772893104405087445943863697884611220867312773862510868702726658725628307831162846271447282179300282994311580359012289238439991024652067550978741323933896877268600214214498294249180356966106415996651293984836503742081399703567471286299106668457964515318186339416552578065649483709142545374946356914002434958112280789482327413477443900881107749731629301826244363689996136705132225472292144615580646667512628355538670659336731535457004194853909611125375467265161492938045869440639962361457434136627570778056004911479190636229337571290869435138108833168047900590164541139134703730800272271925973694092530763114725763278065025343095350301918745113293423473505653867449813072343487854036788719410276992445470605331325307441799141263495477431986270022859302265475848500291170734797410890943538580632130310863223228807213539448277800621224508705649771589320081552467695678989280364573193072521088288154038057643587255607367821426824413352967373889634704420221758041751424742847072659003464460174361651390682205090108601198076366194425041022227100150172725602584059186281754866076414740579006668935670602571379399847630541724356135786852614481625009723746967097785590453115816734526022572668134839546754019464016380531579182656972039219066376741671146304919087016060900207148264636680079055478242559590013648253414328383341132126376128417965154426588277366282241225101418756852782155682379728671629911068408156363092358225081850799328555415300932441893314268487369914589871694147373755450775641452265387777639306484821498925707693369409973444410059373297113204990409877709745360166358908645911865042037949471128725330989265461888475972165620420713014769454297992130445362805308107510011860268403705794894704251176102805633819508176324363505189852069303778454402104483622478780136267760503311874313385685866826180634389739235833413300304533612222430041681061610566671853886291575314792307943586979679073070422231264841175230001417781537573598697007179678641944293333516974673911173185700644362826835879335418624144206392624446121861759704673866357298993109309174390898079176025739489550239375015098171147012392908476987301663817479223853456830595885187195169843272253403663392834774762212498025408179628211984880215590588109543226784914576158802560516619663247664534818959974996596705003694182592519980879805308987071875511531235292837396387535347423913963607192276850523988677887442574158975182828329782582729263755486923408237413652192362883954971633053842625544627931935014519115281631091887369893599618410509500132359576572709553513087147456209994300637592943703265046208761593801311496182992172455947674895673110359422074857944411257485219586437324656760586355916114876014670803425726597528037555596323397928486570366809325940681405708348013225618602733560185516823642976979455769543291950862652683990548870896025778834587457079650923467087024893948360362150453461250696948868646155436792136563765274533641461612289901618733090491020281612851458221751758567682973950379926641241034566735948086421078745127086484673278041160845820971871173450587969593650691646320634866579216415270216211936806165423650837060602559206570082885314917860198619937638097541930557436813046254336006077012772534155335317277016880127870177338300426128095383735322255203310322993288591465275359815306490596312221182596947769444584587441987189320654800349153442496759462736629781590562457602578410185141873515242410703320826403969113932497257367559704619858993456975826429589909872798212273151609086334656835011063987222428972196636705380308227469536633761895443273131770160906459691865414563669358064288470609546039787373370987567267148565320269612804502663005268786787138304958871628260128324462436985968050374915274474012578871903560129796726539046420347048337625801579503561857420486103947260363591464765645316120377161398001056716644531809242063008057004975383908234398211392916187613167999020339292345072185763243956514534469172605528630481412903037597153508627363744924783717518182329535389801928250672826119222239028790405701766961824560655440825973879853390733346495777702864178542192770772364450278380705605294517104353386187329433540550208595179349654596856123122914556953518550140052899620768794242238199857333159941370032400476342870915668415004414572640744629256937685470912333730156491233979112406466071579070733920505954158779105992151550210508940238923962717246980022557553021732574053859487836380997753729918360408058289334843743468226302774072176833708301063430203205125289738263440256474554980136921800961252985656199451311231232260348782053073609680126221907859573930778524611523047952116452508092064940631847713353972042488322507411307179755969085737557328640751335811340135104862800525784917894725068844096553865834255953836746445573715511349008119437510159090553495967503740064438200002992681547323823229740578102162208076867258027798684553632130794859675941031197032312022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What is the factorial of 4002?
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