4044080800 has 72 divisors (see below), whose sum is σ = 10301903136. Its totient is φ = 1547293440.

The previous prime is 4044080767. The next prime is 4044080801. The reversal of 4044080800 is 80804404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4044080801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91494 + ... + 128293.

It is an arithmetic number, because the mean of its divisors is an integer number (143081988).

Almost surely, 2^4044080800 is an apocalyptic number.

4044080800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044080800 is an abundant number, since it is smaller than the sum of its proper divisors (6257822336).

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

4044080800 is a wasteful number, since it uses less digits than its factorization.

4044080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219830 (or 219817 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4044080800 is about 63593.0876746836. The cubic root of 4044080800 is about 1593.2109209987.

The spelling of 4044080800 in words is "four billion, forty-four million, eighty thousand, eight hundred".