444080848800 has 144 divisors (see below), whose sum is σ = 1479099394080. Its totient is φ = 115667543040.

The previous prime is 444080848781. The next prime is 444080848823. The reversal of 444080848800 is 8848080444.

It is a happy number.

It is a super-2 number, since 2×444080848800² (a number of 24 digits) contains 22 as substring.

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 444080848800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2048355 + ... + 2254754.

It is an arithmetic number, because the mean of its divisors is an integer number (10271523570).

Almost surely, 2^444080848800 is an apocalyptic number.

444080848800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444080848800 is an abundant number, since it is smaller than the sum of its proper divisors (1035018545280).

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

444080848800 is a wasteful number, since it uses less digits than its factorization.

444080848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303175 (or 4303162 counting only the distinct ones).

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

The spelling of 444080848800 in words is "four hundred forty-four billion, eighty million, eight hundred forty-eight thousand, eight hundred".