404808480000 has 270 divisors, whose sum is σ = 1458491628594. Its totient is φ = 107948544000.

The previous prime is 404808479989. The next prime is 404808480007. The reversal of 404808480000 is 84808404.

It can be written as a sum of positive squares in 5 ways, for example, as 280103445504 + 124705034496 = 529248^2 + 353136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404808480007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1299442 + ... + 1580558.

Almost surely, 2^404808480000 is an apocalyptic number.

404808480000 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 404808480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729245814297).

404808480000 is an abundant number, since it is smaller than the sum of its proper divisors (1053683148594).

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

404808480000 is an equidigital number, since it uses as much as digits as its factorization.

404808480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281159 (or 281127 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 404808480000 in words is "four hundred four billion, eight hundred eight million, four hundred eighty thousand".