8000844440800 has 36 divisors (see below), whose sum is σ = 19532061493056. Its totient is φ = 3200337776000.

The previous prime is 8000844440753. The next prime is 8000844440807. The reversal of 8000844440800 is 80444480008.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000844440807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5000526976 + ... + 5000528575.

It is an arithmetic number, because the mean of its divisors is an integer number (542557263696).

Almost surely, 2^{8000844440800} is an apocalyptic number.

8000844440800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8000844440800 is an abundant number, since it is smaller than the sum of its proper divisors (11531217052256).

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

8000844440800 is a wasteful number, since it uses less digits than its factorization.

8000844440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001055571 (or 10001055558 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 8000844440800 in words is "eight trillion, eight hundred forty-four million, four hundred forty thousand, eight hundred".