413414464414314 has 96 divisors (see below), whose sum is σ = 972344549090880. Its totient is φ = 116737945632000.

The previous prime is 413414464414297. The next prime is 413414464414327.

413414464414314 is nontrivially palindromic in base 10.

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 47 ways as a sum of consecutive naturals, for example, 244819227 + ... + 246502094.

It is an arithmetic number, because the mean of its divisors is an integer number (10128589053030).

Almost surely, 2^{413414464414314} is an apocalyptic number.

413414464414314 is an abundant number, since it is smaller than the sum of its proper divisors (558930084676566).

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

413414464414314 is a wasteful number, since it uses less digits than its factorization.

413414464414314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491321428 (or 491321417 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 48.

The spelling of 413414464414314 in words is "four hundred thirteen trillion, four hundred fourteen billion, four hundred sixty-four million, four hundred fourteen thousand, three hundred fourteen".