413012402208 has 72 divisors (see below), whose sum is σ = 1342290313728. Its totient is φ = 118003542912.

The previous prime is 413012402191. The next prime is 413012402261. The reversal of 413012402208 is 802204210314.

413012402208 is a `hidden beast` number, since 41 + 3 + 0 + 12 + 402 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102431616 + ... + 102435647.

It is an arithmetic number, because the mean of its divisors is an integer number (18642921024).

Almost surely, 2^413012402208 is an apocalyptic number.

413012402208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

413012402208 is an abundant number, since it is smaller than the sum of its proper divisors (929277911520).

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

413012402208 is a wasteful number, since it uses less digits than its factorization.

413012402208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204867286 (or 204867275 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 413012402208 in words is "four hundred thirteen billion, twelve million, four hundred two thousand, two hundred eight".