404408404004 has 48 divisors (see below), whose sum is σ = 779859976896. Its totient is φ = 181963824000.

The previous prime is 404408404003. The next prime is 404408404009. The reversal of 404408404004 is 400404804404.

It is not an unprimeable number, because it can be changed into a prime (404408404003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41933207 + ... + 41942849.

It is an arithmetic number, because the mean of its divisors is an integer number (16247082852).

Almost surely, 2^404408404004 is an apocalyptic number.

404408404004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404408404004 is a deficient number, since it is larger than the sum of its proper divisors (375451572892).

404408404004 is a wasteful number, since it uses less digits than its factorization.

404408404004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19196 (or 19194 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 404408404004 in words is "four hundred four billion, four hundred eight million, four hundred four thousand, four".