10415408864 has 48 divisors (see below), whose sum is σ = 23458137696. Its totient is φ = 4459276800.

The previous prime is 10415408833. The next prime is 10415408867. The reversal of 10415408864 is 46880451401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10415408867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205934 + ... + 251474.

It is an arithmetic number, because the mean of its divisors is an integer number (488711202).

Almost surely, 2^10415408864 is an apocalyptic number.

10415408864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10415408864 is an abundant number, since it is smaller than the sum of its proper divisors (13042728832).

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

10415408864 is a wasteful number, since it uses less digits than its factorization.

10415408864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46579 (or 46571 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The spelling of 10415408864 in words is "ten billion, four hundred fifteen million, four hundred eight thousand, eight hundred sixty-four".