8800444808400 has 240 divisors, whose sum is σ = 33257300983808. Its totient is φ = 1946642112000.

The previous prime is 8800444808347. The next prime is 8800444808417. The reversal of 8800444808400 is 48084440088.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 8800444808400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16637536 + ... + 17158335.

Almost surely, 2^{8800444808400} is an apocalyptic number.

8800444808400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8800444808400 is an abundant number, since it is smaller than the sum of its proper divisors (24456856175408).

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

8800444808400 is a wasteful number, since it uses less digits than its factorization.

8800444808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33795930 (or 33795919 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 8800444808400 in words is "eight trillion, eight hundred billion, four hundred forty-four million, eight hundred eight thousand, four hundred".