420470760000 has 280 divisors, whose sum is σ = 1463349453280. Its totient is φ = 106223616000.

The previous prime is 420470759983. The next prime is 420470760097. The reversal of 420470760000 is 67074024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 420470760000.

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 39 ways as a sum of consecutive naturals, for example, 2187792 + ... + 2372208.

Almost surely, 2^420470760000 is an apocalyptic number.

420470760000 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 420470760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731674726640).

420470760000 is an abundant number, since it is smaller than the sum of its proper divisors (1042878693280).

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

420470760000 is a wasteful number, since it uses less digits than its factorization.

420470760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184471 (or 184446 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 420470760000 in words is "four hundred twenty billion, four hundred seventy million, seven hundred sixty thousand".