413322202223314 has 32 divisors (see below), whose sum is σ = 635023546243200. Its totient is φ = 201706623552000.

The previous prime is 413322202223311. The next prime is 413322202223351.

It is a happy number.

413322202223314 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 413322202223314.

It is not an unprimeable number, because it can be changed into a prime (413322202223311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107818117 + ... + 111585799.

It is an arithmetic number, because the mean of its divisors is an integer number (19844485820100).

Almost surely, 2^{413322202223314} is an apocalyptic number.

413322202223314 is a deficient number, since it is larger than the sum of its proper divisors (221701344019886).

413322202223314 is a wasteful number, since it uses less digits than its factorization.

413322202223314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775506.

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 41332220 and 2223314, that added together give a palindrome (43555534).

The spelling of 413322202223314 in words is "four hundred thirteen trillion, three hundred twenty-two billion, two hundred two million, two hundred twenty-three thousand, three hundred fourteen".