4044240400 has 60 divisors (see below), whose sum is σ = 9816549652. Its totient is φ = 1601003520.

The previous prime is 4044240391. The next prime is 4044240427. The reversal of 4044240400 is 40424404.

It can be written as a sum of positive squares in 6 ways, for example, as 4875264 + 4039365136 = 2208^2 + 63556^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13317 + ... + 90916.

Almost surely, 2^4044240400 is an apocalyptic number.

4044240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044240400 is an abundant number, since it is smaller than the sum of its proper divisors (5772309252).

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

4044240400 is a wasteful number, since it uses less digits than its factorization.

4044240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104348 (or 104337 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4044240400 is about 63594.3425156672. The cubic root of 4044240400 is about 1593.2318794588.

Adding to 4044240400 its reverse (40424404), we get a palindrome (4084664804).

The spelling of 4044240400 in words is "four billion, forty-four million, two hundred forty thousand, four hundred".