44379057032352 has 960 divisors, whose sum is σ = 160207992806400. Its totient is φ = 11769360445440.

The previous prime is 44379057032309. The next prime is 44379057032357. The reversal of 44379057032352 is 25323075097344.

44379057032352 is a `hidden beast` number, since 4 + 4 + 3 + 7 + 9 + 0 + 570 + 32 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (44379057032357) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6366236227 + ... + 6366243197.

It is an arithmetic number, because the mean of its divisors is an integer number (166883325840).

Almost surely, 2^{44379057032352} is an apocalyptic number.

44379057032352 is a gapful number since it is divisible by the number (42) 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 44379057032352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80103996403200).

44379057032352 is an abundant number, since it is smaller than the sum of its proper divisors (115828935774048).

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

44379057032352 is a wasteful number, since it uses less digits than its factorization.

44379057032352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 44379057032352 in words is "forty-four trillion, three hundred seventy-nine billion, fifty-seven million, thirty-two thousand, three hundred fifty-two".