420375835920 has 160 divisors (see below), whose sum is σ = 1348721176320. Its totient is φ = 108184975360.

The previous prime is 420375835907. The next prime is 420375835961. The reversal of 420375835920 is 29538573024.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 420375835920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16559077 + ... + 16584443.

It is an arithmetic number, because the mean of its divisors is an integer number (8429507352).

Almost surely, 2^420375835920 is an apocalyptic number.

420375835920 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 420375835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674360588160).

420375835920 is an abundant number, since it is smaller than the sum of its proper divisors (928345340400).

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

420375835920 is a wasteful number, since it uses less digits than its factorization.

420375835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27793 (or 27787 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 420375835920 in words is "four hundred twenty billion, three hundred seventy-five million, eight hundred thirty-five thousand, nine hundred twenty".