42140 has 36 divisors (see below), whose sum is σ = 105336. Its totient is φ = 14112.

The previous prime is 42139. The next prime is 42157. The reversal of 42140 is 4124.

42140 = T₂₁ + T₂₂ + ... + T₆₃.

It is a plaindrome in base 8.

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 959 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (2926).

2⁴²¹⁴⁰ 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 42140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52668).

42140 is an abundant number, since it is smaller than the sum of its proper divisors (63196).

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

42140 is a wasteful number, since it uses less digits than its factorization.

42140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42140 is about 205.2802961806. The cubic root of 42140 is about 34.7988461325.

Adding to 42140 its reverse (4124), we get a palindrome (46264).

The spelling of 42140 in words is "forty-two thousand, one hundred forty", and thus it is an iban number.