1044400400 has 30 divisors (see below), whose sum is σ = 2509172922. Its totient is φ = 417760000.

The previous prime is 1044400397. The next prime is 1044400411. The reversal of 1044400400 is 40044401.

1044400400 is digitally balanced in base 6, 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 3 ways, for example, as 126067984 + 918332416 = 11228^2 + 30304^2 .

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, 1305101 + ... + 1305900.

Almost surely, 2^1044400400 is an apocalyptic number.

1044400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1044400400 is an abundant number, since it is smaller than the sum of its proper divisors (1464772522).

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

1044400400 is a wasteful number, since it uses less digits than its factorization.

1044400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611019 (or 2611008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1044400400 is about 32317.1842832880. The cubic root of 1044400400 is about 1014.5863376191.

Adding to 1044400400 its reverse (40044401), we get a palindrome (1084444801).

The spelling of 1044400400 in words is "one billion, forty-four million, four hundred thousand, four hundred".