40080 has 40 divisors (see below), whose sum is σ = 124992. Its totient is φ = 10624.

The previous prime is 40063. The next prime is 40087. The reversal of 40080 is 8004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (40087) by changing a digit.

40080 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 7 ways as a sum of consecutive naturals, for example, 157 + ... + 323.

2⁴⁰⁰⁸⁰ is an apocalyptic number.

40080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

40080 is an abundant number, since it is smaller than the sum of its proper divisors (84912).

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

40080 is a wasteful number, since it uses less digits than its factorization.

40080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 40080 is about 200.1999000999. The cubic root of 40080 is about 34.2223034299. Note that the first 3 decimals are identical.

Adding to 40080 its reverse (8004), we get a palindrome (48084).

The spelling of 40080 in words is "forty thousand, eighty".