12644015304400 has 60 divisors (see below), whose sum is σ = 30417165039564. Its totient is φ = 5050960000000.

The previous prime is 12644015304359. The next prime is 12644015304443. The reversal of 12644015304400 is 440351044621.

It can be written as a sum of positive squares in 6 ways, for example, as 2463882744976 + 10180132559424 = 1569676^2 + 3190632^2 .

It is a super-2 number, since 2×12644015304400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20464351 + ... + 21073150.

Almost surely, 2^{12644015304400} is an apocalyptic number.

12644015304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12644015304400 is an abundant number, since it is smaller than the sum of its proper divisors (17773149735164).

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

12644015304400 is a wasteful number, since it uses less digits than its factorization.

12644015304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41538280 (or 41538269 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 12644015304400 in words is "twelve trillion, six hundred forty-four billion, fifteen million, three hundred four thousand, four hundred".