12641112590400 has 1260 divisors, whose sum is σ = 54969523131600. Its totient is φ = 2840340142080.

The previous prime is 12641112590363. The next prime is 12641112590479. The reversal of 12641112590400 is 409521114621.

12641112590400 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 11 + 12 + 590 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 374656731 + ... + 374690469.

It is an arithmetic number, because the mean of its divisors is an integer number (43626605660).

Almost surely, 2^{12641112590400} is an apocalyptic number.

12641112590400 is a gapful number since it is divisible by the number (10) 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 12641112590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27484761565800).

12641112590400 is an abundant number, since it is smaller than the sum of its proper divisors (42328410541200).

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

12641112590400 is a wasteful number, since it uses less digits than its factorization.

12641112590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33846 (or 33815 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12641112590400 in words is "twelve trillion, six hundred forty-one billion, one hundred twelve million, five hundred ninety thousand, four hundred".