413431606134314 has 32 divisors (see below), whose sum is σ = 626342094417600. Its totient is φ = 204653386415232.

The previous prime is 413431606134251. The next prime is 413431606134517.

It is a happy number.

413431606134314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7840066292 + ... + 7840119024.

It is an arithmetic number, because the mean of its divisors is an integer number (19573190450550).

Almost surely, 2^{413431606134314} is an apocalyptic number.

413431606134314 is a deficient number, since it is larger than the sum of its proper divisors (212910488283286).

413431606134314 is a wasteful number, since it uses less digits than its factorization.

413431606134314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75494.

The product of its (nonzero) digits is 746496, while the sum is 44.

It can be divided in two parts, 41343160 and 6134314, that added together give a palindrome (47477474).

The spelling of 413431606134314 in words is "four hundred thirteen trillion, four hundred thirty-one billion, six hundred six million, one hundred thirty-four thousand, three hundred fourteen".