42037128 has 48 divisors (see below), whose sum is σ = 130116480. Its totient is φ = 12010464.

The previous prime is 42037111. The next prime is 42037133. The reversal of 42037128 is 82173024.

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, 41200 + ... + 42207.

It is an arithmetic number, because the mean of its divisors is an integer number (2710760).

Almost surely, 2^42037128 is an apocalyptic number.

It is an amenable number.

42037128 is an abundant number, since it is smaller than the sum of its proper divisors (88079352).

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

42037128 is a wasteful number, since it uses less digits than its factorization.

42037128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83426 (or 83419 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42037128 is about 6483.6045530245. The cubic root of 42037128 is about 347.7050612401.

The spelling of 42037128 in words is "forty-two million, thirty-seven thousand, one hundred twenty-eight".