420604825824 has 192 divisors, whose sum is σ = 1294419168000. Its totient is φ = 132504906240.

The previous prime is 420604825793. The next prime is 420604825829. The reversal of 420604825824 is 428528406024.

420604825824 is a `hidden beast` number, since 4 + 2 + 0 + 60 + 4 + 8 + 2 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 420604825824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420604825829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6880707 + ... + 6941565.

It is an arithmetic number, because the mean of its divisors is an integer number (6741766500).

Almost surely, 2^420604825824 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 420604825824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647209584000).

420604825824 is an abundant number, since it is smaller than the sum of its proper divisors (873814342176).

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

420604825824 is a wasteful number, since it uses less digits than its factorization.

420604825824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61318 (or 61304 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 420604825824 in words is "four hundred twenty billion, six hundred four million, eight hundred twenty-five thousand, eight hundred twenty-four".