44939682627840 has 2880 divisors, whose sum is σ = 220333630809600. Its totient is φ = 8618823843840.

The previous prime is 44939682627817. The next prime is 44939682627859. The reversal of 44939682627840 is 4872628693944.

44939682627840 is a `hidden beast` number, since 4 + 493 + 9 + 6 + 8 + 2 + 62 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5085395902 + ... + 5085404738.

It is an arithmetic number, because the mean of its divisors is an integer number (76504732920).

Almost surely, 2^{44939682627840} is an apocalyptic number.

44939682627840 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 44939682627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110166815404800).

44939682627840 is an abundant number, since it is smaller than the sum of its proper divisors (175393948181760).

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

44939682627840 is a wasteful number, since it uses less digits than its factorization.

44939682627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8915 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 44939682627840 in words is "forty-four trillion, nine hundred thirty-nine billion, six hundred eighty-two million, six hundred twenty-seven thousand, eight hundred forty".