420021132330 has 128 divisors (see below), whose sum is σ = 1036303994880. Its totient is φ = 108892143360.

The previous prime is 420021132319. The next prime is 420021132331. The reversal of 420021132330 is 33231120024.

420021132330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 420021132297 and 420021132306.

It is not an unprimeable number, because it can be changed into a prime (420021132331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461054575 + ... + 461055485.

It is an arithmetic number, because the mean of its divisors is an integer number (8096124960).

Almost surely, 2^420021132330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420021132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518151997440).

420021132330 is an abundant number, since it is smaller than the sum of its proper divisors (616282862550).

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

420021132330 is a wasteful number, since it uses less digits than its factorization.

420021132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 420021132330 its reverse (33231120024), we get a palindrome (453252252354).

The spelling of 420021132330 in words is "four hundred twenty billion, twenty-one million, one hundred thirty-two thousand, three hundred thirty".