404400444400 has 60 divisors (see below), whose sum is σ = 971680361800. Its totient is φ = 161742147840.

The previous prime is 404400444389. The next prime is 404400444449. The reversal of 404400444400 is 4444004404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3880171 + ... + 3983029.

Almost surely, 2^404400444400 is an apocalyptic number.

404400444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404400444400 is an abundant number, since it is smaller than the sum of its proper divisors (567279917400).

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

404400444400 is a wasteful number, since it uses less digits than its factorization.

404400444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112706 (or 112695 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 404400444400 its reverse (4444004404), we get a palindrome (408844448804).

The spelling of 404400444400 in words is "four hundred four billion, four hundred million, four hundred forty-four thousand, four hundred".