12616832390400 has 2592 divisors, whose sum is σ = 56236038663168. Its totient is φ = 2633505177600.

The previous prime is 12616832390353. The next prime is 12616832390411. The reversal of 12616832390400 is 409323861621.

12616832390400 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 6 + 8 + 3 + 239 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38117318235 + ... + 38117318565.

Almost surely, 2^{12616832390400} is an apocalyptic number.

12616832390400 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 12616832390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28118019331584).

12616832390400 is an abundant number, since it is smaller than the sum of its proper divisors (43619206272768).

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

12616832390400 is a wasteful number, since it uses less digits than its factorization.

12616832390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12616832390400 in words is "twelve trillion, six hundred sixteen billion, eight hundred thirty-two million, three hundred ninety thousand, four hundred".