42032243132320 has 384 divisors, whose sum is σ = 122524637921280. Its totient is φ = 13308908912640.

The previous prime is 42032243132239. The next prime is 42032243132359. The reversal of 42032243132320 is 2323134223024.

42032243132320 is digitally balanced in base 2, 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 (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345715701 + ... + 345837259.

It is an arithmetic number, because the mean of its divisors is an integer number (319074577920).

Almost surely, 2^{42032243132320} is an apocalyptic number.

42032243132320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42032243132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61262318960640).

42032243132320 is an abundant number, since it is smaller than the sum of its proper divisors (80492394788960).

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

42032243132320 is a wasteful number, since it uses less digits than its factorization.

42032243132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122068 (or 122060 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 42032243132320 its reverse (2323134223024), we get a palindrome (44355377355344).

The spelling of 42032243132320 in words is "forty-two trillion, thirty-two billion, two hundred forty-three million, one hundred thirty-two thousand, three hundred twenty".