413110008456 has 128 divisors (see below), whose sum is σ = 1110779136000. Its totient is φ = 127620686592.

The previous prime is 413110008449. The next prime is 413110008473. The reversal of 413110008456 is 654800011314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76230915 + ... + 76236333.

It is an arithmetic number, because the mean of its divisors is an integer number (8677962000).

Almost surely, 2^413110008456 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 413110008456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555389568000).

413110008456 is an abundant number, since it is smaller than the sum of its proper divisors (697669127544).

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

413110008456 is a wasteful number, since it uses less digits than its factorization.

413110008456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9051 (or 9047 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 413110008456 in words is "four hundred thirteen billion, one hundred ten million, eight thousand, four hundred fifty-six".