42142968 has 48 divisors (see below), whose sum is σ = 130444080. Its totient is φ = 12040704.

The previous prime is 42142937. The next prime is 42142979. The reversal of 42142968 is 86924124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one 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 11 ways as a sum of consecutive naturals, for example, 41305 + ... + 42312.

It is an arithmetic number, because the mean of its divisors is an integer number (2717585).

Almost surely, 2^42142968 is an apocalyptic number.

It is an amenable number.

42142968 is an abundant number, since it is smaller than the sum of its proper divisors (88301112).

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

42142968 is a wasteful number, since it uses less digits than its factorization.

42142968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83636 (or 83629 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42142968 is about 6491.7615483010. The cubic root of 42142968 is about 347.9966309622.

The spelling of 42142968 in words is "forty-two million, one hundred forty-two thousand, nine hundred sixty-eight".