420032321010 has 192 divisors, whose sum is σ = 1172009180160. Its totient is φ = 108122480640.

The previous prime is 420032320987. The next prime is 420032321039. The reversal of 420032321010 is 10123230024.

420032321010 is a `hidden beast` number, since 420 + 0 + 3 + 23 + 210 + 10 = 666.

420032321010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30803154 + ... + 30816786.

It is an arithmetic number, because the mean of its divisors is an integer number (6104214480).

Almost surely, 2^420032321010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420032321010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586004590080).

420032321010 is an abundant number, since it is smaller than the sum of its proper divisors (751976859150).

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

420032321010 is a wasteful number, since it uses less digits than its factorization.

420032321010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14095 (or 14083 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 420032321010 its reverse (10123230024), we get a palindrome (430155551034).

The spelling of 420032321010 in words is "four hundred twenty billion, thirty-two million, three hundred twenty-one thousand, ten".