42181000 has 32 divisors (see below), whose sum is σ = 98705880. Its totient is φ = 16872000.

The previous prime is 42180967. The next prime is 42181001. The reversal of 42181000 is 18124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3218436 + 38962564 = 1794^2 + 6242^2 .

It is a super-2 number, since 2×42181000² = 3558473522000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42181001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20091 + ... + 22090.

Almost surely, 2^42181000 is an apocalyptic number.

42181000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42181000 is an abundant number, since it is smaller than the sum of its proper divisors (56524880).

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

42181000 is a wasteful number, since it uses less digits than its factorization.

42181000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42202 (or 42188 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 42181000 is about 6494.6901388750. The cubic root of 42181000 is about 348.1012828901.

Adding to 42181000 its reverse (18124), we get a palindrome (42199124).

The spelling of 42181000 in words is "forty-two million, one hundred eighty-one thousand".