42181140 has 96 divisors (see below), whose sum is σ = 125637120. Its totient is φ = 10544256.

The previous prime is 42181133. The next prime is 42181141. The reversal of 42181140 is 4118124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42181141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185707 + ... + 185933.

It is an arithmetic number, because the mean of its divisors is an integer number (1308720).

Almost surely, 2^42181140 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 42181140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62818560).

42181140 is an abundant number, since it is smaller than the sum of its proper divisors (83455980).

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

42181140 is a wasteful number, since it uses less digits than its factorization.

42181140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 42181140 is about 6494.7009169014. The cubic root of 42181140 is about 348.1016680092.

Adding to 42181140 its reverse (4118124), we get a palindrome (46299264).

The spelling of 42181140 in words is "forty-two million, one hundred eighty-one thousand, one hundred forty".