40180 has 36 divisors (see below), whose sum is σ = 100548. Its totient is φ = 13440.

The previous prime is 40177. The next prime is 40189. The reversal of 40180 is 8104.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 33124 = 84^2 + 182^2 .

It is a super-2 number, since 2×40180² = 3228864800, which contains 22 as substring.

40180 is a modest number, since divided by 180 gives 40 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 40180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40189) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 960 + ... + 1000.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2⁴⁰¹⁸⁰ 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 40180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50274).

40180 is an abundant number, since it is smaller than the sum of its proper divisors (60368).

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

40180 is a wasteful number, since it uses less digits than its factorization.

40180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 40180 is about 200.4494948859. The cubic root of 40180 is about 34.2507414548.

Adding to 40180 its reverse (8104), we get a palindrome (48284).

The spelling of 40180 in words is "forty thousand, one hundred eighty".