40140 has 36 divisors (see below), whose sum is σ = 122304. Its totient is φ = 10656.

The previous prime is 40129. The next prime is 40151. The reversal of 40140 is 4104.

40140 = 10² + 11² + ... + 49².

40140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40129) and next prime (40151).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40140² = 3222439200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 16.

It is an unprimeable number.

40140 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 11 ways as a sum of consecutive naturals, for example, 69 + ... + 291.

2⁴⁰¹⁴⁰ 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 40140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

40140 is an abundant number, since it is smaller than the sum of its proper divisors (82164).

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

40140 is a wasteful number, since it uses less digits than its factorization.

40140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40140 is about 200.3496942848. The cubic root of 40140 is about 34.2393719132.

Adding to 40140 its reverse (4104), we get a palindrome (44244).

It can be divided in two parts, 401 and 40, that added together give a square (441 = 21²).

The spelling of 40140 in words is "forty thousand, one hundred forty", and thus it is an iban number.