40216 has 16 divisors (see below), whose sum is σ = 82440. Its totient is φ = 18240.

The previous prime is 40213. The next prime is 40231. The reversal of 40216 is 61204.

40216 is a modest number, since divided by 216 gives 40 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 40196 and 40205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141 + ... + 316.

2⁴⁰²¹⁶ is an apocalyptic number.

It is an amenable number.

40216 is an abundant number, since it is smaller than the sum of its proper divisors (42224).

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 (41220).

40216 is a wasteful number, since it uses less digits than its factorization.

40216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 40216 is about 200.5392729617. The cubic root of 40216 is about 34.2609675924.

It can be divided in two parts, 40 and 216, that added together give a 8-th power (256 = 2⁸).

The spelling of 40216 in words is "forty thousand, two hundred sixteen".