8008400444160 has 72 divisors (see below), whose sum is σ = 25576828930800. Its totient is φ = 2135573450752.

The previous prime is 8008400444119. The next prime is 8008400444171. The reversal of 8008400444160 is 614440048008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1042756635 + ... + 1042764314.

It is an arithmetic number, because the mean of its divisors is an integer number (355233735150).

Almost surely, 2^{8008400444160} is an apocalyptic number.

8008400444160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8008400444160 is an abundant number, since it is smaller than the sum of its proper divisors (17568428486640).

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

8008400444160 is a wasteful number, since it uses less digits than its factorization.

8008400444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085520973 (or 2085520959 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 8008400444160 in words is "eight trillion, eight billion, four hundred million, four hundred forty-four thousand, one hundred sixty".