404008819449160 has 64 divisors (see below), whose sum is σ = 962661750142320. Its totient is φ = 152070549872640.

The previous prime is 404008819449043. The next prime is 404008819449299. The reversal of 404008819449160 is 61944918800404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 184896411866244 + 219112407582916 = 13597662^2 + 14802446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404008819449095 and 404008819449104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48666111 + ... + 56359630.

Almost surely, 2^{404008819449160} is an apocalyptic number.

404008819449160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404008819449160 is an abundant number, since it is smaller than the sum of its proper divisors (558652930693160).

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

404008819449160 is a wasteful number, since it uses less digits than its factorization.

404008819449160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105031426 (or 105031422 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 58.

The spelling of 404008819449160 in words is "four hundred four trillion, eight billion, eight hundred nineteen million, four hundred forty-nine thousand, one hundred sixty".