404804004004 has 12 divisors (see below), whose sum is σ = 713161417500. Its totient is φ = 201043599008.

The previous prime is 404804003999. The next prime is 404804004067. The reversal of 404804004004 is 400400408404.

It can be written as a sum of positive squares in 2 ways, for example, as 249290504100 + 155513499904 = 499290^2 + 394352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 339600079 + ... + 339601270.

It is an arithmetic number, because the mean of its divisors is an integer number (59430118125).

Almost surely, 2^404804004004 is an apocalyptic number.

It is an amenable number.

404804004004 is a deficient number, since it is larger than the sum of its proper divisors (308357413496).

404804004004 is a wasteful number, since it uses less digits than its factorization.

404804004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679201502 (or 679201500 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 404804004004 in words is "four hundred four billion, eight hundred four million, four thousand, four".