42161184 has 72 divisors (see below), whose sum is σ = 129130092. Its totient is φ = 12971520.

The previous prime is 42161183. The next prime is 42161191. The reversal of 42161184 is 48116124.

It is a happy number.

42161184 is a `hidden beast` number, since 42 + 1 + 611 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41216400 + 944784 = 6420^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42161183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1887 + ... + 9374.

Almost surely, 2^42161184 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 42161184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64565046).

42161184 is an abundant number, since it is smaller than the sum of its proper divisors (86968908).

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

42161184 is a wasteful number, since it uses less digits than its factorization.

42161184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11290 (or 11279 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 42161184 is about 6493.1644057424. The cubic root of 42161184 is about 348.0467634343.

The spelling of 42161184 in words is "forty-two million, one hundred sixty-one thousand, one hundred eighty-four".