42131232 has 288 divisors, whose sum is σ = 150151680. Its totient is φ = 11404800.

The previous prime is 42131183. The next prime is 42131267. The reversal of 42131232 is 23213124.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1359057 + ... + 1359087.

It is an arithmetic number, because the mean of its divisors is an integer number (521360).

Almost surely, 2^42131232 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 42131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75075840).

42131232 is an abundant number, since it is smaller than the sum of its proper divisors (108020448).

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

42131232 is a wasteful number, since it uses less digits than its factorization.

42131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

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

The square root of 42131232 is about 6490.8575704602. The cubic root of 42131232 is about 347.9643245236.

Adding to 42131232 its reverse (23213124), we get a palindrome (65344356).

It can be divided in two parts, 4213 and 1232, that added together give a palindrome (5445).

The spelling of 42131232 in words is "forty-two million, one hundred thirty-one thousand, two hundred thirty-two".