413276672314 has 64 divisors (see below), whose sum is σ = 722878732800. Its totient is φ = 175215268800.

The previous prime is 413276672311. The next prime is 413276672321.

It is a happy number.

413276672314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413276672314² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413276672311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82307124 + ... + 82312144.

It is an arithmetic number, because the mean of its divisors is an integer number (11294980200).

Almost surely, 2^413276672314 is an apocalyptic number.

413276672314 is a deficient number, since it is larger than the sum of its proper divisors (309602060486).

413276672314 is a wasteful number, since it uses less digits than its factorization.

413276672314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059.

The product of its digits is 1016064, while the sum is 46.

The spelling of 413276672314 in words is "four hundred thirteen billion, two hundred seventy-six million, six hundred seventy-two thousand, three hundred fourteen".