404424000404 has 24 divisors (see below), whose sum is σ = 709299498600. Its totient is φ = 201767353344.

The previous prime is 404424000349. The next prime is 404424000503. The reversal of 404424000404 is 404000424404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21770412304 + 382653588100 = 147548^2 + 618590^2 .

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 7 ways as a sum of consecutive naturals, for example, 4684622 + ... + 4770170.

It is an arithmetic number, because the mean of its divisors is an integer number (29554145775).

Almost surely, 2^404424000404 is an apocalyptic number.

It is an amenable number.

404424000404 is a deficient number, since it is larger than the sum of its proper divisors (304875498196).

404424000404 is a wasteful number, since it uses less digits than its factorization.

404424000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88139 (or 88137 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 404424000404 its reverse (404000424404), we get a palindrome (808424424808).

It can be divided in two parts, 404424000 and 404, that added together give a palindrome (404424404).

The spelling of 404424000404 in words is "four hundred four billion, four hundred twenty-four million, four hundred four", and thus it is an aban number.