40338 has 24 divisors (see below), whose sum is σ = 91728. Its totient is φ = 13284.

The previous prime is 40289. The next prime is 40343. The reversal of 40338 is 83304.

40338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 40338.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2⁴⁰³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864).

40338 is an abundant number, since it is smaller than the sum of its proper divisors (51390).

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

40338 is an equidigital number, since it uses as much as digits as its factorization.

40338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40338 is about 200.8432224398. The cubic root of 40338 is about 34.2955775194.

It can be divided in two parts, 403 and 38, that added together give a square (441 = 21²).

The spelling of 40338 in words is "forty thousand, three hundred thirty-eight".