42002142 has 64 divisors (see below), whose sum is σ = 105853440. Its totient is φ = 10813824.

The previous prime is 42002119. The next prime is 42002143. The reversal of 42002142 is 24120024.

42002142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22584 + ... + 24372.

It is an arithmetic number, because the mean of its divisors is an integer number (1653960).

Almost surely, 2^42002142 is an apocalyptic number.

42002142 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 42002142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52926720).

42002142 is an abundant number, since it is smaller than the sum of its proper divisors (63851298).

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

42002142 is a wasteful number, since it uses less digits than its factorization.

42002142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42002142 is about 6480.9059551887. The cubic root of 42002142 is about 347.6085736335.

Adding to 42002142 its reverse (24120024), we get a palindrome (66122166).

The spelling of 42002142 in words is "forty-two million, two thousand, one hundred forty-two".