413453912256 has 2016 divisors, whose sum is σ = 1739144908800. Its totient is φ = 92665036800.

The previous prime is 413453912233. The next prime is 413453912363. The reversal of 413453912256 is 652219354314.

413453912256 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 5 + 391 + 2 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

Its product of digits (777600) is a multiple of the sum of its prime divisors (90).

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, 13337222961 + ... + 13337222991.

Almost surely, 2^413453912256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413453912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869572454400).

413453912256 is an abundant number, since it is smaller than the sum of its proper divisors (1325690996544).

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

413453912256 is a wasteful number, since it uses less digits than its factorization.

413453912256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 413453912256 in words is "four hundred thirteen billion, four hundred fifty-three million, nine hundred twelve thousand, two hundred fifty-six".