404114411404 has 72 divisors (see below), whose sum is σ = 779847740784. Its totient is φ = 183096038400.

The previous prime is 404114411357. The next prime is 404114411411.

It is a happy number.

404114411404 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359851987 + ... + 359853109.

It is an arithmetic number, because the mean of its divisors is an integer number (10831218622).

Almost surely, 2^404114411404 is an apocalyptic number.

404114411404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404114411404 is a deficient number, since it is larger than the sum of its proper divisors (375733329380).

404114411404 is a wasteful number, since it uses less digits than its factorization.

404114411404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 404114 and 411404, that added together give a palindrome (815518).

The spelling of 404114411404 in words is "four hundred four billion, one hundred fourteen million, four hundred eleven thousand, four hundred four".