404418814404 has 48 divisors (see below), whose sum is σ = 1048852929600. Its totient is φ = 120238867840.

The previous prime is 404418814403. The next prime is 404418814409.

It is a happy number.

404418814404 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (404418814403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28896579 + ... + 28910570.

It is an arithmetic number, because the mean of its divisors is an integer number (21851102700).

Almost surely, 2^404418814404 is an apocalyptic number.

404418814404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404418814404 is an abundant number, since it is smaller than the sum of its proper divisors (644434115196).

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

404418814404 is a wasteful number, since it uses less digits than its factorization.

404418814404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57807220 (or 57807218 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The spelling of 404418814404 in words is "four hundred four billion, four hundred eighteen million, eight hundred fourteen thousand, four hundred four".