What is the factorial of 5040? (5040!) 5040 Factorial

What is the factorial of 5040?

Here we will show you how to calculate the factorial of 5040 (aka 5040 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 5040 can be written as 5040 followed by an exclamation mark like this: 5040!

Factorial of 5040 means that you multiply 5040 by every number below it. Therefore, you calculate the factorial of 5040 by multiplying 5040 by 5039, then by 5038, and so on all the way down to 1. In other words, we calculate 5040 × 5039 × 5038 × ... × 1 to get 5040 factorial.

The answer to 5040 factorial (5040!) contains 16474 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 5040 factorial:

4.5292602543 × 10¹⁶⁴⁷³

The answer above is also sometimes written as 4.5292602543e+16473. Regardless, it means that the approximate answer to 5040! is 45292602543 followed by 16463 more digits.

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Like we promised, below is the exact answer to 5040 factorial (5040!) with all 16474 digits:

45292602543623719208792452340133061921271240279876358391143579767442851169585859659838331828168583041483175028242876315012084259933989650949653134999258589897561807293117723285836815033236521794210113693188565101749358183828015057969085962318164724243719699623849192436765822862538069465930350473975718825815458927462126865075678133191123359424223060970891007161500484508930193813849068677078566699660861479751575170620819105730488976957972389001007862990727159935431961753312357931323510439255940712877551168854081197461748716047369020257199111975983185689726304686061564014062610528689147544912942960153380892337653184692311358192417158937686794504474512845296010452503650013391167844963300724511327949109281155786381676626367726538110803063916275938998654282205895002997082893078975754197258529382451553187815154287263613932844108870331450654267059405702903950055742419658015788608130991859726314382117853125949553697852792722187480784022783044080802278075050464770584149035926006774045096043378315457127395481228871426112558849470589091425849550220592829604712481203697043479725293127723087449287896202739639572319831398198509184766564490531719499506494347479114166089668682842466105899171755380923060778548126455212629663260852435867981148658498338075806225302859378383125113553963259054859373474691682997364323571973975949571050295437926580198619219458946429471812521213559424297829008884079220879251112222007221638486941960846779613709007256921570617324249972258554265710802883603146587494373338169432697691462728259810441571750202671637633108655009827386902886261685648985898039888118878791510307554954194631240748466134647072898055079074491051343531438071690730592943144481692403662971166886013267319837857721626744174109961998481419467161180377808749428373713959340167077537182535470611941973139680532329906479977906094275945186678871218761611678538622292117362403139395333419926580405911475211392920747635500285324334492842916840017890083252760898758413032234633784708800940561146561155125893121173088245700388876969683324395163693558432875912965446385008505540041247928039777802394603492712093255560720813337562156194581528096901957302342344141175566080817459483546562654628882318205249342397107564675504128664073738860780602084116043798686646738656565691454890822169680343743450201185636332462858735791418498986427686331244837681644899480105138297146049349738972789385690180383324426935167820520723811687965966707649436641620806634119368654912076045118998873947353828881906810853919442958810809806202484494726336397095012522332256832784380527992147690921150164905766784648856164188681547070300958222352683192337554256299127167043343179980755269341853330233406477740027059744013553415274031483160312917628877368055835590869233366199891458754492225349229801641028462538988294262273818567454151370819045419365937404464665996727153341538064887592093964706734556659354214568258930350240830808743946969630617084013431454254851206430283724428138377949652483528781877212482062924051949719106329358875167057352484048269638261743337134220235123019793016435712380735471995464055421534005389538039271688067259391338580669208976958860168806426530864985649793832991976317819276786343480285610768128435172020556428732119916040776213132855511208540210379210960104624944938123689826129603742017059841103905726704693436057113660441024444115206992753408601905725154878841306232792025939631344385400070821035763482965426893983990210301340188117392920396618536550680670416195896374486677786697545217502004555430770304022397342865607037350762310137016992766670861563292972192055994297428087561567970416797127010652931320897215089077727819363499308329508425436100997737596917276274779488317573373756356910110401076991261219545299177164127022755913728359684713220291048655044519480328783670064072530940383213647901932683845885553154369114459662583570576590229118287796755168096771770947428505901855064611987978349469841749299305263366348559966241968892922911751252439372606405034278798110627117051430015126637674026219871002533545122654547263258190962742670975716406693946504440199561954933190973545234217183626894575739484986043359188731509522853079232615218769798758571833703443568790658941466666646548566344111545182209520458175835244769984312207279083755081988657754348665555964225231498510474151918730835661638394434590256087381992004107735698365852395438233295422279243722554764784111158343894436375702645716078660527280863002395799590186231872222360117462665982375571230703166988143719694191349103628635903712896415846271117911854319155051206952559944686211290672049586791950260797137243437911967684107732508374393998416894580937599811118734730335422677678992814396214839994182964677551784826581021124657898888887318740855837831858006103280974430967122929905168206483815581074783107602957959264709663823682398209949116108309090884534328475987202654728136828465884566417766316967586408868239646025183375055850712391792410661584940126609576458785873465658336970581810811341824602699877717597250298764869238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What is the factorial of 5041?
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