42216192 has 108 divisors (see below), whose sum is σ = 123878664. Its totient is φ = 13824000.

The previous prime is 42216179. The next prime is 42216193. The reversal of 42216192 is 29161224.

42216192 is a `hidden beast` number, since 42 + 2 + 1 + 619 + 2 = 666.

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 (42216193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168067 + ... + 168317.

Almost surely, 2^42216192 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 42216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61939332).

42216192 is an abundant number, since it is smaller than the sum of its proper divisors (81662472).

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

42216192 is a wasteful number, since it uses less digits than its factorization.

42216192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 42216192 is about 6497.3988641609. The cubic root of 42216192 is about 348.1980640243.

The spelling of 42216192 in words is "forty-two million, two hundred sixteen thousand, one hundred ninety-two".