42042 has 48 divisors (see below), whose sum is σ = 114912. Its totient is φ = 10080.

The previous prime is 42023. The next prime is 42043. The reversal of 42042 is 24024.

Added to its reverse (24024) it gives a triangular number (66066 = T₃₆₃).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42042.

It is not an unprimeable number, because it can be changed into a prime (42043) by changing a digit.

42042 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 3228 + ... + 3240.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

2⁴²⁰⁴² is an apocalyptic number.

42042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456).

42042 is an abundant number, since it is smaller than the sum of its proper divisors (72870).

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

42042 is a wasteful number, since it uses less digits than its factorization.

42042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42042 is about 205.0414592223. The cubic root of 42042 is about 34.7718493442.

Adding to 42042 its reverse (24024), we get a palindrome (66066).

The spelling of 42042 in words is "forty-two thousand, forty-two", and thus it is an eban number and an iban number.