414400004414 has 32 divisors (see below), whose sum is σ = 679194547200. Its totient is φ = 188062387200.

The previous prime is 414400004401. The next prime is 414400004461.

414400004414 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39844787 + ... + 39855185.

It is an arithmetic number, because the mean of its divisors is an integer number (21224829600).

Almost surely, 2^414400004414 is an apocalyptic number.

414400004414 is a deficient number, since it is larger than the sum of its proper divisors (264794542786).

414400004414 is a wasteful number, since it uses less digits than its factorization.

414400004414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136.

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 41440000 and 4414, that added together give a palindrome (41444414).

The spelling of 414400004414 in words is "four hundred fourteen billion, four hundred million, four thousand, four hundred fourteen".