42181968 has 80 divisors (see below), whose sum is σ = 113135616. Its totient is φ = 13534080.

The previous prime is 42181949. The next prime is 42181969. The reversal of 42181968 is 86918124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42181969) 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, 220753 + ... + 220943.

Almost surely, 2^42181968 is an apocalyptic number.

42181968 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 42181968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567808).

42181968 is an abundant number, since it is smaller than the sum of its proper divisors (70953648).

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

42181968 is a wasteful number, since it uses less digits than its factorization.

42181968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 42181968 is about 6494.7646608634. The cubic root of 42181968 is about 348.1039456962.

The spelling of 42181968 in words is "forty-two million, one hundred eighty-one thousand, nine hundred sixty-eight".