413222404222314 has 12 divisors (see below), whose sum is σ = 895315209148386. Its totient is φ = 137740801407432.

The previous prime is 413222404222267. The next prime is 413222404222319.

413222404222314 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 22 + 404 + 2 + 223 + 1 + 4 = 666.

413222404222314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 230326668251289 + 182895735971025 = 15176517^2 + 13523895^2 .

It is not an unprimeable number, because it can be changed into a prime (413222404222319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11478400117269 + ... + 11478400117304.

Almost surely, 2^{413222404222314} is an apocalyptic number.

413222404222314 is an abundant number, since it is smaller than the sum of its proper divisors (482092804926072).

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

413222404222314 is a wasteful number, since it uses less digits than its factorization.

413222404222314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22956800234581 (or 22956800234578 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 41322240 and 4222314, that added together give a palindrome (45544554).

The spelling of 413222404222314 in words is "four hundred thirteen trillion, two hundred twenty-two billion, four hundred four million, two hundred twenty-two thousand, three hundred fourteen".