12455076326400 has 660 divisors, whose sum is σ = 46222856528992. Its totient is φ = 3313924669440.

The previous prime is 12455076326347. The next prime is 12455076326431. The reversal of 12455076326400 is 462367055421.

12455076326400 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 5 + 0 + 7 + 632 + 6 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 960070314 + ... + 960083286.

Almost surely, 2^{12455076326400} is an apocalyptic number.

12455076326400 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 12455076326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23111428264496).

12455076326400 is an abundant number, since it is smaller than the sum of its proper divisors (33767780202592).

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

12455076326400 is a wasteful number, since it uses less digits than its factorization.

12455076326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13478 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 12455076326400 in words is "twelve trillion, four hundred fifty-five billion, seventy-six million, three hundred twenty-six thousand, four hundred".