42199168 has 128 divisors (see below), whose sum is σ = 101787840. Its totient is φ = 17203200.

The previous prime is 42199159. The next prime is 42199169. The reversal of 42199168 is 86199124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 42199168.

It is not an unprimeable number, because it can be changed into a prime (42199169) 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, 981355 + ... + 981397.

Almost surely, 2^42199168 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 42199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50893920).

42199168 is an abundant number, since it is smaller than the sum of its proper divisors (59588672).

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

42199168 is a wasteful number, since it uses less digits than its factorization.

42199168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 42199168 is about 6496.0886693456. The cubic root of 42199168 is about 348.1512532269.

The spelling of 42199168 in words is "forty-two million, one hundred ninety-nine thousand, one hundred sixty-eight".