404044000400 has 30 divisors (see below), whose sum is σ = 970715711922. Its totient is φ = 161617600000.

The previous prime is 404044000387. The next prime is 404044000417. The reversal of 404044000400 is 4000440404.

It can be written as a sum of positive squares in 3 ways, for example, as 498896896 + 403545103504 = 22336^2 + 635252^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505054601 + ... + 505055400.

Almost surely, 2^404044000400 is an apocalyptic number.

404044000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404044000400 is an abundant number, since it is smaller than the sum of its proper divisors (566671711522).

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

404044000400 is a wasteful number, since it uses less digits than its factorization.

404044000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010110019 (or 1010110008 counting only the distinct ones).

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

Adding to 404044000400 its reverse (4000440404), we get a palindrome (408044440804).

The spelling of 404044000400 in words is "four hundred four billion, forty-four million, four hundred", and thus it is an aban number.