414131131414 has 96 divisors (see below), whose sum is σ = 840763607040. Its totient is φ = 148869040320.

The previous prime is 414131131391. The next prime is 414131131499.

414131131414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84187647 + ... + 84192565.

It is an arithmetic number, because the mean of its divisors is an integer number (8757954240).

Almost surely, 2^414131131414 is an apocalyptic number.

414131131414 is an abundant number, since it is smaller than the sum of its proper divisors (426632475626).

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

414131131414 is a wasteful number, since it uses less digits than its factorization.

414131131414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8786 (or 8775 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 414131 and 131414, that added together give a palindrome (545545).

The spelling of 414131131414 in words is "four hundred fourteen billion, one hundred thirty-one million, one hundred thirty-one thousand, four hundred fourteen".