40112 has 20 divisors (see below), whose sum is σ = 81840. Its totient is φ = 19008.

The previous prime is 40111. The next prime is 40123. The reversal of 40112 is 21104.

40112 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 40112.

It is not an unprimeable number, because it can be changed into a prime (40111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 314 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (4092).

2⁴⁰¹¹² 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 40112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920).

40112 is an abundant number, since it is smaller than the sum of its proper divisors (41728).

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

40112 is a wasteful number, since it uses less digits than its factorization.

40112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 40112 is about 200.2798042739. The cubic root of 40112 is about 34.2314087392.

Adding to 40112 its reverse (21104), we get a palindrome (61216).

The spelling of 40112 in words is "forty thousand, one hundred twelve", and thus it is an iban number.