40356 has 36 divisors (see below), whose sum is σ = 109200. Its totient is φ = 12528.

The previous prime is 40351. The next prime is 40357. The reversal of 40356 is 65304.

It is a happy number.

40356 is digitally balanced in base 2, because in such base 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 (36).

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (40351) 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, 655 + ... + 713.

2⁴⁰³⁵⁶ 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 40356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54600).

40356 is an abundant number, since it is smaller than the sum of its proper divisors (68844).

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

40356 is a wasteful number, since it uses less digits than its factorization.

40356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 40356 is about 200.8880285134. Note that the first 3 decimals coincide. The cubic root of 40356 is about 34.3006779921.

The spelling of 40356 in words is "forty thousand, three hundred fifty-six".