448044800880 has 80 divisors (see below), whose sum is σ = 1436833349280. Its totient is φ = 115358659584.

The previous prime is 448044800771. The next prime is 448044800911. The reversal of 448044800880 is 88008440844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32180167 + ... + 32194086.

It is an arithmetic number, because the mean of its divisors is an integer number (17960416866).

Almost surely, 2^448044800880 is an apocalyptic number.

448044800880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448044800880 is an abundant number, since it is smaller than the sum of its proper divisors (988788548400).

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

448044800880 is a wasteful number, since it uses less digits than its factorization.

448044800880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64374298 (or 64374292 counting only the distinct ones).

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

The spelling of 448044800880 in words is "four hundred forty-eight billion, forty-four million, eight hundred thousand, eight hundred eighty".