42195888 has 120 divisors (see below), whose sum is σ = 138386976. Its totient is φ = 11750400.

The previous prime is 42195883. The next prime is 42195913. The reversal of 42195888 is 88859124.

It is a happy number.

42195888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42195883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40818 + ... + 41838.

Almost surely, 2^42195888 is an apocalyptic number.

42195888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42195888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69193488).

42195888 is an abundant number, since it is smaller than the sum of its proper divisors (96191088).

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

42195888 is a wasteful number, since it uses less digits than its factorization.

42195888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1074 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 42195888 is about 6495.8362048315. The cubic root of 42195888 is about 348.1422327829.

The spelling of 42195888 in words is "forty-two million, one hundred ninety-five thousand, eight hundred eighty-eight".