423821984256 has 640 divisors, whose sum is σ = 1459213747200. Its totient is φ = 121604198400.

The previous prime is 423821984233. The next prime is 423821984273. The reversal of 423821984256 is 652489128324.

423821984256 is a `hidden beast` number, since 4 + 2 + 382 + 1 + 9 + 8 + 4 + 256 = 666.

It is a super-2 number, since 2×423821984256² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 234025591 + ... + 234027401.

It is an arithmetic number, because the mean of its divisors is an integer number (2280021480).

Almost surely, 2^423821984256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423821984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729606873600).

423821984256 is an abundant number, since it is smaller than the sum of its proper divisors (1035391762944).

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

423821984256 is an equidigital number, since it uses as much as digits as its factorization.

423821984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1846 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 423821984256 in words is "four hundred twenty-three billion, eight hundred twenty-one million, nine hundred eighty-four thousand, two hundred fifty-six".