40016 has 20 divisors (see below), whose sum is σ = 80724. Its totient is φ = 19200.

The previous prime is 40013. The next prime is 40031. The reversal of 40016 is 61004.

40016 is nontrivially palindromic in base 3 and base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 1600 + 38416 = 40^2 + 196^2 .

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 39979 and 40006.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40016.

It is not an unprimeable number, because it can be changed into a prime (40013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 626 + ... + 686.

2⁴⁰⁰¹⁶ is an apocalyptic number.

It is an amenable number.

40016 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40362).

40016 is a wasteful number, since it uses less digits than its factorization.

40016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 40016 is about 200.0399960008. The cubic root of 40016 is about 34.2040782615.

It can be divided in two parts, 400 and 16, that multiplied together give a square (6400 = 80²).

The spelling of 40016 in words is "forty thousand, sixteen".