42188472 has 64 divisors (see below), whose sum is σ = 117972000. Its totient is φ = 13969152.

The previous prime is 42188459. The next prime is 42188479. The reversal of 42188472 is 27488124.

42188472 is a `hidden beast` number, since 4 + 2 + 188 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42188479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36804 + ... + 37932.

Almost surely, 2^42188472 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 42188472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58986000).

42188472 is an abundant number, since it is smaller than the sum of its proper divisors (75783528).

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

42188472 is a wasteful number, since it uses less digits than its factorization.

42188472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1307 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42188472 is about 6495.2653525472. The cubic root of 42188472 is about 348.1218360556.

The spelling of 42188472 in words is "forty-two million, one hundred eighty-eight thousand, four hundred seventy-two".