4044424400 has 30 divisors (see below), whose sum is σ = 9716730582. Its totient is φ = 1617769600.

The previous prime is 4044424357. The next prime is 4044424421. The reversal of 4044424400 is 44244404.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 157151296 + 3887273104 = 12536^2 + 62348^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4044424400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5055131 + ... + 5055930.

Almost surely, 2^4044424400 is an apocalyptic number.

4044424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044424400 is an abundant number, since it is smaller than the sum of its proper divisors (5672306182).

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

4044424400 is a wasteful number, since it uses less digits than its factorization.

4044424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111079 (or 10111068 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4044424400 is about 63595.7891687807. The cubic root of 4044424400 is about 1593.2560414102.

Adding to 4044424400 its reverse (44244404), we get a palindrome (4088668804).

The spelling of 4044424400 in words is "four billion, forty-four million, four hundred twenty-four thousand, four hundred".