414413314414 has 32 divisors (see below), whose sum is σ = 702046434816. Its totient is φ = 181836285120.

The previous prime is 414413314327. The next prime is 414413314459.

414413314414 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 414413314414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2669632 + ... + 2820595.

It is an arithmetic number, because the mean of its divisors is an integer number (21938951088).

Almost surely, 2^414413314414 is an apocalyptic number.

414413314414 is a deficient number, since it is larger than the sum of its proper divisors (287633120402).

414413314414 is a wasteful number, since it uses less digits than its factorization.

414413314414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490360.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 414413 and 314414, that added together give a palindrome (728827).

The spelling of 414413314414 in words is "four hundred fourteen billion, four hundred thirteen million, three hundred fourteen thousand, four hundred fourteen".