4044480800 has 36 divisors (see below), whose sum is σ = 9873590706. Its totient is φ = 1617792000.

The previous prime is 4044480763. The next prime is 4044480851. The reversal of 4044480800 is 80844404.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3721488016 + 322992784 = 61004^2 + 17972^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2527001 + ... + 2528600.

Almost surely, 2^4044480800 is an apocalyptic number.

4044480800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044480800 is an abundant number, since it is smaller than the sum of its proper divisors (5829109906).

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

4044480800 is a wasteful number, since it uses less digits than its factorization.

4044480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055621 (or 5055608 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4044480800 is about 63596.2325928195. The cubic root of 4044480800 is about 1593.2634474268.

The spelling of 4044480800 in words is "four billion, forty-four million, four hundred eighty thousand, eight hundred".