42161952 has 72 divisors (see below), whose sum is σ = 128758896. Its totient is φ = 12044928.

The previous prime is 42161939. The next prime is 42161971. The reversal of 42161952 is 25916124.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223 + ... + 9185.

It is an arithmetic number, because the mean of its divisors is an integer number (1788318).

Almost surely, 2^42161952 is an apocalyptic number.

42161952 is a gapful number since it is divisible by the number (42) 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 42161952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64379448).

42161952 is an abundant number, since it is smaller than the sum of its proper divisors (86596944).

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

42161952 is a wasteful number, since it uses less digits than its factorization.

42161952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8990 (or 8975 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 42161952 is about 6493.2235445886. The cubic root of 42161952 is about 348.0488767391.

The spelling of 42161952 in words is "forty-two million, one hundred sixty-one thousand, nine hundred fifty-two".