44409975041664 has 512 divisors, whose sum is σ = 141796744320000. Its totient is φ = 13638042980352.

The previous prime is 44409975041659. The next prime is 44409975041681. The reversal of 44409975041664 is 46614057990444.

44409975041664 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 99 + 75 + 0 + 416 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646559067 + ... + 646627749.

It is an arithmetic number, because the mean of its divisors is an integer number (276946766250).

Almost surely, 2^{44409975041664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44409975041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70898372160000).

44409975041664 is an abundant number, since it is smaller than the sum of its proper divisors (97386769278336).

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

44409975041664 is a wasteful number, since it uses less digits than its factorization.

44409975041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68997 (or 68979 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 44409975041664 in words is "forty-four trillion, four hundred nine billion, nine hundred seventy-five million, forty-one thousand, six hundred sixty-four".