412013040310214 has 72 divisors (see below), whose sum is σ = 727750264281120. Its totient is φ = 174434361427872.

The previous prime is 412013040310171. The next prime is 412013040310241.

412013040310214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11269793267 + ... + 11269829825.

It is an arithmetic number, because the mean of its divisors is an integer number (10107642559460).

Almost surely, 2^{412013040310214} is an apocalyptic number.

412013040310214 is a deficient number, since it is larger than the sum of its proper divisors (315737223970906).

412013040310214 is a wasteful number, since it uses less digits than its factorization.

412013040310214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53434 (or 53344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 412013040310214 in words is "four hundred twelve trillion, thirteen billion, forty million, three hundred ten thousand, two hundred fourteen".