404312320000 has 240 divisors, whose sum is σ = 1037635178580. Its totient is φ = 157335552000.

The previous prime is 404312319941. The next prime is 404312320019. The reversal of 404312320000 is 23213404.

It can be written as a sum of positive squares in 10 ways, for example, as 10571129856 + 393741190144 = 102816^2 + 627488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 404312320000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47355732 + ... + 47364268.

Almost surely, 2^404312320000 is an apocalyptic number.

404312320000 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 404312320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518817589290).

404312320000 is an abundant number, since it is smaller than the sum of its proper divisors (633322858580).

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

404312320000 is an frugal number, since it uses more digits than its factorization.

404312320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 404312320000 its reverse (23213404), we get a palindrome (404335533404).

The spelling of 404312320000 in words is "four hundred four billion, three hundred twelve million, three hundred twenty thousand".