413224141422314 has 32 divisors (see below), whose sum is σ = 633076815537936. Its totient is φ = 202242094202880.

The previous prime is 413224141422289. The next prime is 413224141422341.

413224141422314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 109139704530025 + 304084436892289 = 10446995^2 + 17438017^2 .

It is a super-3 number, since 3×413224141422314³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74883434 + ... + 80212074.

Almost surely, 2^{413224141422314} is an apocalyptic number.

413224141422314 is a deficient number, since it is larger than the sum of its proper divisors (219852674115622).

413224141422314 is a wasteful number, since it uses less digits than its factorization.

413224141422314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332730.

The product of its digits is 147456, while the sum is 38.

The spelling of 413224141422314 in words is "four hundred thirteen trillion, two hundred twenty-four billion, one hundred forty-one million, four hundred twenty-two thousand, three hundred fourteen".