404440044400 has 60 divisors (see below), whose sum is σ = 1110476815312. Its totient is φ = 138665157120.

The previous prime is 404440044347. The next prime is 404440044439. The reversal of 404440044400 is 4440044404.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 72218637 + ... + 72224236.

Almost surely, 2^404440044400 is an apocalyptic number.

404440044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404440044400 is an abundant number, since it is smaller than the sum of its proper divisors (706036770912).

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

404440044400 is a wasteful number, since it uses less digits than its factorization.

404440044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144442898 (or 144442887 counting only the distinct ones).

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

Adding to 404440044400 its reverse (4440044404), we get a palindrome (408880088804).

The spelling of 404440044400 in words is "four hundred four billion, four hundred forty million, forty-four thousand, four hundred".