414464464414 has 64 divisors (see below), whose sum is σ = 835234283520. Its totient is φ = 148967320320.

The previous prime is 414464464409. The next prime is 414464464433.

414464464414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3267082 + ... + 3391570.

It is an arithmetic number, because the mean of its divisors is an integer number (13050535680).

Almost surely, 2^414464464414 is an apocalyptic number.

414464464414 is an abundant number, since it is smaller than the sum of its proper divisors (420769819106).

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

414464464414 is a wasteful number, since it uses less digits than its factorization.

414464464414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126185.

The product of its digits is 2359296, while the sum is 46.

It can be divided in two parts, 414464 and 464414, that added together give a palindrome (878878).

The spelling of 414464464414 in words is "four hundred fourteen billion, four hundred sixty-four million, four hundred sixty-four thousand, four hundred fourteen".