42057180 has 108 divisors (see below), whose sum is σ = 140297976. Its totient is φ = 10190400.

The previous prime is 42057161. The next prime is 42057181. The reversal of 42057180 is 8175024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42057181) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20815 + ... + 22745.

Almost surely, 2^42057180 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 42057180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70148988).

42057180 is an abundant number, since it is smaller than the sum of its proper divisors (98240796).

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

42057180 is a wasteful number, since it uses less digits than its factorization.

42057180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 42057180 is about 6485.1507307078. The cubic root of 42057180 is about 347.7603383560.

It can be divided in two parts, 420 and 57180, that added together give a square (57600 = 240²).

The spelling of 42057180 in words is "forty-two million, fifty-seven thousand, one hundred eighty".