404424000000 has 840 divisors, whose sum is σ = 1505469089124. Its totient is φ = 104448000000.

The previous prime is 404423999999. The next prime is 404424000031. The reversal of 404424000000 is 424404.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 398474037504 + 5949962496 = 631248^2 + 77136^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2951999932 + ... + 2952000068.

Almost surely, 2^404424000000 is an apocalyptic number.

404424000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752734544562).

404424000000 is an abundant number, since it is smaller than the sum of its proper divisors (1101045089124).

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

404424000000 is an frugal number, since it uses more digits than its factorization.

404424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 404424000000 its reverse (424404), we get a palindrome (404424424404).

The spelling of 404424000000 in words is "four hundred four billion, four hundred twenty-four million", and thus it is an aban number.