404827331328 has 648 divisors, whose sum is σ = 1432573047360. Its totient is φ = 113654016000.

The previous prime is 404827331131. The next prime is 404827331351. The reversal of 404827331328 is 823133728404.

404827331328 is a `hidden beast` number, since 4 + 0 + 48 + 273 + 313 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 179842203 + ... + 179844453.

Almost surely, 2^404827331328 is an apocalyptic number.

404827331328 is a gapful number since it is divisible by the number (48) 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 404827331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716286523680).

404827331328 is an abundant number, since it is smaller than the sum of its proper divisors (1027745716032).

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

404827331328 is an equidigital number, since it uses as much as digits as its factorization.

404827331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 404827331328 in words is "four hundred four billion, eight hundred twenty-seven million, three hundred thirty-one thousand, three hundred twenty-eight".