413212424212314 has 48 divisors (see below), whose sum is σ = 910662612219360. Its totient is φ = 135392631256800.

The previous prime is 413212424212283. The next prime is 413212424212363.

413212424212314 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 1 + 2 + 424 + 212 + 3 + 14 = 666.

413212424212314 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, 817335652 + ... + 817841055.

It is an arithmetic number, because the mean of its divisors is an integer number (18972137754570).

Almost surely, 2^{413212424212314} is an apocalyptic number.

413212424212314 is an abundant number, since it is smaller than the sum of its proper divisors (497450188007046).

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

413212424212314 is a wasteful number, since it uses less digits than its factorization.

413212424212314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635176955 (or 1635176952 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 413212424212314 in words is "four hundred thirteen trillion, two hundred twelve billion, four hundred twenty-four million, two hundred twelve thousand, three hundred fourteen".