420919888830 has 128 divisors (see below), whose sum is σ = 1192168267776. Its totient is φ = 93075264000.

The previous prime is 420919888757. The next prime is 420919888847. The reversal of 420919888830 is 38888919024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22990680 + ... + 23008980.

It is an arithmetic number, because the mean of its divisors is an integer number (9313814592).

Almost surely, 2^420919888830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420919888830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596084133888).

420919888830 is an abundant number, since it is smaller than the sum of its proper divisors (771248378946).

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

420919888830 is a wasteful number, since it uses less digits than its factorization.

420919888830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21882.

The product of its (nonzero) digits is 7962624, while the sum is 60.

The spelling of 420919888830 in words is "four hundred twenty billion, nine hundred nineteen million, eight hundred eighty-eight thousand, eight hundred thirty".