404721982896 has 800 divisors, whose sum is σ = 1418683008000. Its totient is φ = 99174620160.

The previous prime is 404721982849. The next prime is 404721982901. The reversal of 404721982896 is 698289127404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5544136716 + ... + 5544136788.

It is an arithmetic number, because the mean of its divisors is an integer number (1773353760).

Almost surely, 2^404721982896 is an apocalyptic number.

404721982896 is a gapful number since it is divisible by the number (46) 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 404721982896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709341504000).

404721982896 is an abundant number, since it is smaller than the sum of its proper divisors (1013961025104).

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

404721982896 is an equidigital number, since it uses as much as digits as its factorization.

404721982896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 404721982896 in words is "four hundred four billion, seven hundred twenty-one million, nine hundred eighty-two thousand, eight hundred ninety-six".