413312404213314 has 48 divisors (see below), whose sum is σ = 905809892854464. Its totient is φ = 136190558196000.

The previous prime is 413312404213307. The next prime is 413312404213363.

413312404213314 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 1 + 2 + 404 + 213 + 31 + 4 = 666.

413312404213314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178999084 + ... + 181293399.

It is an arithmetic number, because the mean of its divisors is an integer number (18871039434468).

Almost surely, 2^{413312404213314} is an apocalyptic number.

413312404213314 is an abundant number, since it is smaller than the sum of its proper divisors (492497488641150).

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

413312404213314 is a wasteful number, since it uses less digits than its factorization.

413312404213314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360293223 (or 360293220 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 41331240 and 4213314, that added together give a palindrome (45544554).

The spelling of 413312404213314 in words is "four hundred thirteen trillion, three hundred twelve billion, four hundred four million, two hundred thirteen thousand, three hundred fourteen".