42189960 has 64 divisors (see below), whose sum is σ = 127137600. Its totient is φ = 11200256.

The previous prime is 42189947. The next prime is 42189989. The reversal of 42189960 is 6998124.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31627 + ... + 32933.

It is an arithmetic number, because the mean of its divisors is an integer number (1986525).

Almost surely, 2^42189960 is an apocalyptic number.

42189960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42189960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63568800).

42189960 is an abundant number, since it is smaller than the sum of its proper divisors (84947640).

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

42189960 is a wasteful number, since it uses less digits than its factorization.

42189960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 42189960 is about 6495.3798965111. The cubic root of 42189960 is about 348.1259287945.

The spelling of 42189960 in words is "forty-two million, one hundred eighty-nine thousand, nine hundred sixty".