8400844844400 has 120 divisors (see below), whose sum is σ = 26917296867760. Its totient is φ = 2239676651520.

The previous prime is 8400844844351. The next prime is 8400844844453. The reversal of 8400844844400 is 44484480048.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×8400844844400² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8400844844400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4056396 + ... + 5766804.

Almost surely, 2^{8400844844400} is an apocalyptic number.

8400844844400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8400844844400 is an abundant number, since it is smaller than the sum of its proper divisors (18516452023360).

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

8400844844400 is a wasteful number, since it uses less digits than its factorization.

8400844844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714523 (or 1714512 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 8400844844400 in words is "eight trillion, four hundred billion, eight hundred forty-four million, eight hundred forty-four thousand, four hundred".