12641590400 has 48 divisors (see below), whose sum is σ = 31228686690. Its totient is φ = 5056634880.

The previous prime is 12641590391. The next prime is 12641590427. The reversal of 12641590400 is 409514621.

It can be written as a sum of positive squares in 3 ways, for example, as 11496986176 + 1144604224 = 107224^2 + 33832^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1972049 + ... + 1978448.

Almost surely, 2^12641590400 is an apocalyptic number.

12641590400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12641590400 is an abundant number, since it is smaller than the sum of its proper divisors (18587096290).

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

12641590400 is an equidigital number, since it uses as much as digits as its factorization.

12641590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950521 (or 3950504 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 12641590400 in words is "twelve billion, six hundred forty-one million, five hundred ninety thousand, four hundred".