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4494991781280 = 25357111331307983
BaseRepresentation
bin100000101101001001001…
…1000110110110110100000
3120220201100201001112122110
41001122102120312312200
51042121220344000110
613320545401435320
7642516041504640
oct101322230666640
916821321045573
104494991781280
111483351749230
126071ab79bb40
13267b5049aa80
141177b7362520
157bdd20b1a20
hex41692636da0

4494991781280 has 1536 divisors, whose sum is σ = 19708195110912. Its totient is φ = 830800281600.

The previous prime is 4494991781213. The next prime is 4494991781341. The reversal of 4494991781280 is 821871994944.

It is a super-2 number, since 2×44949917812802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4572727669 + ... + 4572728651.

It is an arithmetic number, because the mean of its divisors is an integer number (12830856192).

Almost surely, 24494991781280 is an apocalyptic number.

4494991781280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4494991781280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9854097555456).

4494991781280 is an abundant number, since it is smaller than the sum of its proper divisors (15213203329632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4494991781280 is a wasteful number, since it uses less digits than its factorization.

4494991781280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 66.

The spelling of 4494991781280 in words is "four trillion, four hundred ninety-four billion, nine hundred ninety-one million, seven hundred eighty-one thousand, two hundred eighty".