42189600 has 72 divisors (see below), whose sum is σ = 137334960. Its totient is φ = 11249920.

The previous prime is 42189571. The next prime is 42189617. The reversal of 42189600 is 698124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6390 + ... + 11189.

It is an arithmetic number, because the mean of its divisors is an integer number (1907430).

Almost surely, 2^42189600 is an apocalyptic number.

42189600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42189600 is an abundant number, since it is smaller than the sum of its proper divisors (95145360).

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

42189600 is a wasteful number, since it uses less digits than its factorization.

42189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17602 (or 17589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 42189600 is about 6495.3521844470. The cubic root of 42189600 is about 348.1249386246.

The spelling of 42189600 in words is "forty-two million, one hundred eighty-nine thousand, six hundred".