420961826304 has 200 divisors, whose sum is σ = 1280173688640. Its totient is φ = 137672331264.

The previous prime is 420961826303. The next prime is 420961826321. The reversal of 420961826304 is 403628169024.

420961826304 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 6 + 1 + 8 + 2 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 420961826304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420961826303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2102257 + ... + 2293775.

Almost surely, 2^420961826304 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 420961826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640086844320).

420961826304 is an abundant number, since it is smaller than the sum of its proper divisors (859211862336).

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

420961826304 is an equidigital number, since it uses as much as digits as its factorization.

420961826304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191602 (or 191577 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 420961826304 in words is "four hundred twenty billion, nine hundred sixty-one million, eight hundred twenty-six thousand, three hundred four".