40900 has 18 divisors (see below), whose sum is σ = 88970. Its totient is φ = 16320.

The previous prime is 40897. The next prime is 40903. The reversal of 40900 is 904.

40900 = T₁₄₁ + T₁₄₂ + ... + T₁₄₄.

It is a happy number.

40900 is digitally balanced in base 6, 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 (40897) and next prime (40903).

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 31684 = 96^2 + 178^2 .

40900 is strictly pandigital in base 6.

It is not an unprimeable number, because it can be changed into a prime (40903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105 + ... + 304.

2⁴⁰⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

40900 is an abundant number, since it is smaller than the sum of its proper divisors (48070).

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

40900 is a wasteful number, since it uses less digits than its factorization.

40900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 40900 is about 202.2374841616. The cubic root of 40900 is about 34.4541152943.

The spelling of 40900 in words is "forty thousand, nine hundred".