413214121412314 has 16 divisors (see below), whose sum is σ = 641240392492800. Its totient is φ = 199497010970880.

The previous prime is 413214121412303. The next prime is 413214121412321.

It is a happy number.

413214121412314 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 413214121412314.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7421735964 + ... + 7421791639.

It is an arithmetic number, because the mean of its divisors is an integer number (40077524530800).

Almost surely, 2^{413214121412314} is an apocalyptic number.

413214121412314 is a deficient number, since it is larger than the sum of its proper divisors (228026271080486).

413214121412314 is a wasteful number, since it uses less digits than its factorization.

413214121412314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14843528085.

The product of its digits is 18432, while the sum is 34.

The spelling of 413214121412314 in words is "four hundred thirteen trillion, two hundred fourteen billion, one hundred twenty-one million, four hundred twelve thousand, three hundred fourteen".