320242020432 has 80 divisors (see below), whose sum is σ = 839209465728. Its totient is φ = 105210542080.

The previous prime is 320242020379. The next prime is 320242020433. The reversal of 320242020432 is 234020242023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320242020433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12231868 + ... + 12258020.

Almost surely, 2^320242020432 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 320242020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419604732864).

320242020432 is an abundant number, since it is smaller than the sum of its proper divisors (518967445296).

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

320242020432 is a wasteful number, since it uses less digits than its factorization.

320242020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29828 (or 29822 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 320242020432 its reverse (234020242023), we get a palindrome (554262262455).

The spelling of 320242020432 in words is "three hundred twenty billion, two hundred forty-two million, twenty thousand, four hundred thirty-two".