42013188 has 144 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 11273472.

The previous prime is 42013187. The next prime is 42013207. The reversal of 42013188 is 88131024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42013187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89731 + ... + 90197.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^42013188 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 42013188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

42013188 is an abundant number, since it is smaller than the sum of its proper divisors (92433852).

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

42013188 is a wasteful number, since it uses less digits than its factorization.

42013188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 42013188 is about 6481.7580948382. The cubic root of 42013188 is about 347.6390430935.

The spelling of 42013188 in words is "forty-two million, thirteen thousand, one hundred eighty-eight".