42342432 has 96 divisors (see below), whose sum is σ = 122762304. Its totient is φ = 12672000.

The previous prime is 42342403. The next prime is 42342439. The reversal of 42342432 is 23424324.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42342439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106458 + ... + 106854.

It is an arithmetic number, because the mean of its divisors is an integer number (1278774).

Almost surely, 2^42342432 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 42342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61381152).

42342432 is an abundant number, since it is smaller than the sum of its proper divisors (80419872).

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

42342432 is a wasteful number, since it uses less digits than its factorization.

42342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

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

The square root of 42342432 is about 6507.1062693028. The cubic root of 42342432 is about 348.5447933987.

Adding to 42342432 its reverse (23424324), we get a palindrome (65766756).

It can be divided in two parts, 4234 and 2432, that added together give a palindrome (6666).

The spelling of 42342432 in words is "forty-two million, three hundred forty-two thousand, four hundred thirty-two".