44318315129004 has 384 divisors, whose sum is σ = 135805501440000. Its totient is φ = 12492252101952.

The previous prime is 44318315128999. The next prime is 44318315129021. The reversal of 44318315129004 is 40092151381344.

44318315129004 is a `hidden beast` number, since 4 + 4 + 3 + 18 + 31 + 512 + 90 + 0 + 4 = 666.

It is a super-2 number, since 2×44318315129004² (a number of 28 digits) contains 22 as substring.

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, 842094939 + ... + 842147565.

It is an arithmetic number, because the mean of its divisors is an integer number (353660160000).

Almost surely, 2^{44318315129004} 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 44318315129004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67902750720000).

44318315129004 is an abundant number, since it is smaller than the sum of its proper divisors (91487186310996).

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

44318315129004 is a wasteful number, since it uses less digits than its factorization.

44318315129004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52967 (or 52945 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 44318315129004 in words is "forty-four trillion, three hundred eighteen billion, three hundred fifteen million, one hundred twenty-nine thousand, four".