8008408400000 has 96 divisors (see below), whose sum is σ = 19941538542660. Its totient is φ = 3203363200000.

The previous prime is 8008408399967. The next prime is 8008408400039. The reversal of 8008408400000 is 48048008.

It can be written as a sum of positive squares in 6 ways, for example, as 503044073536 + 7505364326464 = 709256^2 + 2739592^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8008408400000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9610511 + ... + 10410510.

Almost surely, 2^{8008408400000} is an apocalyptic number.

8008408400000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8008408400000 is an abundant number, since it is smaller than the sum of its proper divisors (11933130142660).

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

8008408400000 is an frugal number, since it uses more digits than its factorization.

8008408400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20021060 (or 20021028 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 8008408400000 in words is "eight trillion, eight billion, four hundred eight million, four hundred thousand".