40816 has 10 divisors (see below), whose sum is σ = 79112. Its totient is φ = 20400.

The previous prime is 40813. The next prime is 40819. The reversal of 40816 is 61804.

40816 = 19² + 20² + ... + 50².

It is an interprime number because it is at equal distance from previous prime (40813) and next prime (40819).

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 = 40793 and 40802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1260 + ... + 1291.

2⁴⁰⁸¹⁶ is an apocalyptic number.

It is an amenable number.

40816 is a deficient number, since it is larger than the sum of its proper divisors (38296).

40816 is a wasteful number, since it uses less digits than its factorization.

40816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 40816 is about 202.0297007868. The cubic root of 40816 is about 34.4305119587.

It can be divided in two parts, 408 and 16, that added together give a palindrome (424).

The spelling of 40816 in words is "forty thousand, eight hundred sixteen".