408004400008 has 16 divisors (see below), whose sum is σ = 810008735580. Its totient is φ = 192002070528.

The previous prime is 408004400003. The next prime is 408004400009. The reversal of 408004400008 is 800004400804.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 407500936164 + 503463844 = 638358^2 + 22438^2 .

It is not an unprimeable number, because it can be changed into a prime (408004400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1500016041 + ... + 1500016312.

Almost surely, 2^408004400008 is an apocalyptic number.

It is an amenable number.

408004400008 is a deficient number, since it is larger than the sum of its proper divisors (402004335572).

408004400008 is a wasteful number, since it uses less digits than its factorization.

408004400008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000032376 (or 3000032372 counting only the distinct ones).

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

The spelling of 408004400008 in words is "four hundred eight billion, four million, four hundred thousand, eight".