4080044444800 has 96 divisors (see below), whose sum is σ = 10671866393220. Its totient is φ = 1536016711680.

The previous prime is 4080044444741. The next prime is 4080044444857. The reversal of 4080044444800 is 84444400804.

4080044444800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2123828216896 + 1956216227904 = 1457336^2 + 1398648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37446009 + ... + 37554808.

Almost surely, 2^{4080044444800} is an apocalyptic number.

4080044444800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4080044444800 is an abundant number, since it is smaller than the sum of its proper divisors (6591821948420).

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

4080044444800 is a wasteful number, since it uses less digits than its factorization.

4080044444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75000858 (or 75000841 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 4080044444800 in words is "four trillion, eighty billion, forty-four million, four hundred forty-four thousand, eight hundred".