42189760 has 56 divisors (see below), whose sum is σ = 103729536. Its totient is φ = 16327680.

The previous prime is 42189757. The next prime is 42189761. The reversal of 42189760 is 6798124.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42189761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7794 + ... + 12046.

Almost surely, 2^42189760 is an apocalyptic number.

42189760 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 42189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51864768).

42189760 is an abundant number, since it is smaller than the sum of its proper divisors (61539776).

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

42189760 is a wasteful number, since it uses less digits than its factorization.

42189760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 42189760 is about 6495.3645009345. The cubic root of 42189760 is about 348.1253787008.

The spelling of 42189760 in words is "forty-two million, one hundred eighty-nine thousand, seven hundred sixty".