40116 has 12 divisors (see below), whose sum is σ = 93632. Its totient is φ = 13368.

The previous prime is 40111. The next prime is 40123. The reversal of 40116 is 61104.

40116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 3343 = 40116 / (4 + 0 + 1 + 1 + 6).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40116.

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

40116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1660 + ... + 1683.

2⁴⁰¹¹⁶ is an apocalyptic number.

It is an amenable number.

40116 is an abundant number, since it is smaller than the sum of its proper divisors (53516).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46816).

40116 is a wasteful number, since it uses less digits than its factorization.

40116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 40116 is about 200.2897900543. The cubic root of 40116 is about 34.2325465623.

Subtracting from 40116 its sum of digits (12), we obtain a palindrome (40104).

The spelling of 40116 in words is "forty thousand, one hundred sixteen".