420363808900 has 144 divisors (see below), whose sum is σ = 1060200892800. Its totient is φ = 141686645760.

The previous prime is 420363808883. The next prime is 420363808937. The reversal of 420363808900 is 9808363024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23863296 + ... + 23880904.

It is an arithmetic number, because the mean of its divisors is an integer number (7362506200).

Almost surely, 2^420363808900 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 420363808900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530100446400).

420363808900 is an abundant number, since it is smaller than the sum of its proper divisors (639837083900).

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

420363808900 is a wasteful number, since it uses less digits than its factorization.

420363808900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18206 (or 18199 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 420363808900 in words is "four hundred twenty billion, three hundred sixty-three million, eight hundred eight thousand, nine hundred".