8008004404000 has 384 divisors, whose sum is σ = 20901561408000. Its totient is φ = 3006833356800.

The previous prime is 8008004403941. The next prime is 8008004404027. The reversal of 8008004404000 is 4044008008.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8008004404000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7326627454 + ... + 7326628546.

It is an arithmetic number, because the mean of its divisors is an integer number (54431149500).

Almost surely, 2^{8008004404000} is an apocalyptic number.

8008004404000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8008004404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450780704000).

8008004404000 is an abundant number, since it is smaller than the sum of its proper divisors (12893557004000).

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

8008004404000 is a wasteful number, since it uses less digits than its factorization.

8008004404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1915 counting only the distinct ones).

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

The spelling of 8008004404000 in words is "eight trillion, eight billion, four million, four hundred four thousand".