4044400400 has 30 divisors (see below), whose sum is σ = 9716672922. Its totient is φ = 1617760000.

The previous prime is 4044400379. The next prime is 4044400411. The reversal of 4044400400 is 40044404.

It can be written as a sum of positive squares in 3 ways, for example, as 1269639424 + 2774760976 = 35632^2 + 52676^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5055101 + ... + 5055900.

Almost surely, 2^4044400400 is an apocalyptic number.

4044400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044400400 is an abundant number, since it is smaller than the sum of its proper divisors (5672272522).

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

4044400400 is a wasteful number, since it uses less digits than its factorization.

4044400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111019 (or 10111008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4044400400 is about 63595.6004767625. The cubic root of 4044400400 is about 1593.2528898928.

Adding to 4044400400 its reverse (40044404), we get a palindrome (4084444804).

The spelling of 4044400400 in words is "four billion, forty-four million, four hundred thousand, four hundred".