413679976314 has 16 divisors (see below), whose sum is σ = 902574493920. Its totient is φ = 125357568560.

The previous prime is 413679976309. The next prime is 413679976351.

413679976314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413679976314² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3133939149 + ... + 3133939280.

It is an arithmetic number, because the mean of its divisors is an integer number (56410905870).

Almost surely, 2^413679976314 is an apocalyptic number.

413679976314 is an abundant number, since it is smaller than the sum of its proper divisors (488894517606).

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

413679976314 is a wasteful number, since it uses less digits than its factorization.

413679976314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267878445.

The product of its digits is 20575296, while the sum is 60.

The spelling of 413679976314 in words is "four hundred thirteen billion, six hundred seventy-nine million, nine hundred seventy-six thousand, three hundred fourteen".