420566944000 has 576 divisors, whose sum is σ = 1276935528960. Its totient is φ = 134735462400.

The previous prime is 420566943971. The next prime is 420566944013. The reversal of 420566944000 is 449665024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681631692 + ... + 681632308.

It is an arithmetic number, because the mean of its divisors is an integer number (2216901960).

Almost surely, 2^420566944000 is an apocalyptic number.

420566944000 is a gapful number since it is divisible by the number (40) 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 420566944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638467764480).

420566944000 is an abundant number, since it is smaller than the sum of its proper divisors (856368584960).

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

420566944000 is a wasteful number, since it uses less digits than its factorization.

420566944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 420566944000 in words is "four hundred twenty billion, five hundred sixty-six million, nine hundred forty-four thousand".