438575115264 has 352 divisors, whose sum is σ = 1454135348736. Its totient is φ = 115460014080.

The previous prime is 438575115259. The next prime is 438575115359. The reversal of 438575115264 is 462511575834.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7438669 + ... + 7497395.

Almost surely, 2^438575115264 is an apocalyptic number.

438575115264 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 438575115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727067674368).

438575115264 is an abundant number, since it is smaller than the sum of its proper divisors (1015560233472).

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

438575115264 is a wasteful number, since it uses less digits than its factorization.

438575115264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58791 (or 58773 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The spelling of 438575115264 in words is "four hundred thirty-eight billion, five hundred seventy-five million, one hundred fifteen thousand, two hundred sixty-four".