4044408800800 has 36 divisors (see below), whose sum is σ = 9873412986906. Its totient is φ = 1617763520000.

The previous prime is 4044408800771. The next prime is 4044408800857. The reversal of 4044408800800 is 80088044404.

It can be written as a sum of positive squares in 3 ways, for example, as 3552486118416 + 491922682384 = 1884804^2 + 701372^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2527754701 + ... + 2527756300.

Almost surely, 2^{4044408800800} is an apocalyptic number.

4044408800800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044408800800 is an abundant number, since it is smaller than the sum of its proper divisors (5829004186106).

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

4044408800800 is a wasteful number, since it uses less digits than its factorization.

4044408800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055511021 (or 5055511008 counting only the distinct ones).

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

The spelling of 4044408800800 in words is "four trillion, forty-four billion, four hundred eight million, eight hundred thousand, eight hundred".