404444400404 has 48 divisors (see below), whose sum is σ = 813668962176. Its totient is φ = 174104304000.

The previous prime is 404444400379. The next prime is 404444400407. The reversal of 404444400404 is 404004444404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404444400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876247 + ... + 2080670.

It is an arithmetic number, because the mean of its divisors is an integer number (16951436712).

Almost surely, 2^404444400404 is an apocalyptic number.

404444400404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404444400404 is an abundant number, since it is smaller than the sum of its proper divisors (409224561772).

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

404444400404 is a wasteful number, since it uses less digits than its factorization.

404444400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957056 (or 3957054 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 404444400404 its reverse (404004444404), we get a palindrome (808448844808).

The spelling of 404444400404 in words is "four hundred four billion, four hundred forty-four million, four hundred thousand, four hundred four".