413122221314 has 48 divisors (see below), whose sum is σ = 718102324800. Its totient is φ = 177623281440.

The previous prime is 413122221271. The next prime is 413122221319.

It is a happy number.

413122221314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413122221319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2905472 + ... + 3044340.

It is an arithmetic number, because the mean of its divisors is an integer number (14960465100).

Almost surely, 2^413122221314 is an apocalyptic number.

413122221314 is a deficient number, since it is larger than the sum of its proper divisors (304980103486).

413122221314 is a wasteful number, since it uses less digits than its factorization.

413122221314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139559 (or 139548 counting only the distinct ones).

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

It can be divided in two parts, 413122 and 221314, that added together give a palindrome (634436).

The spelling of 413122221314 in words is "four hundred thirteen billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred fourteen".