44112587904 has 1024 divisors, whose sum is σ = 176256000000. Its totient is φ = 10729635840.

The previous prime is 44112587899. The next prime is 44112587963. The reversal of 44112587904 is 40978521144.

44112587904 is a `hidden beast` number, since 441 + 125 + 87 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×44112587904² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44112587904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221671197 + ... + 221671395.

It is an arithmetic number, because the mean of its divisors is an integer number (172125000).

Almost surely, 2^44112587904 is an apocalyptic number.

44112587904 is a gapful number since it is divisible by the number (44) 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 44112587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000000).

44112587904 is an abundant number, since it is smaller than the sum of its proper divisors (132143412096).

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

44112587904 is a wasteful number, since it uses less digits than its factorization.

44112587904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 44112587904 in words is "forty-four billion, one hundred twelve million, five hundred eighty-seven thousand, nine hundred four".