10040 has 16 divisors (see below), whose sum is σ = 22680. Its totient is φ = 4000.

The previous prime is 10039. The next prime is 10061. The reversal of 10040 is 4001.

10040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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, 86 + ... + 165.

2¹⁰⁰⁴⁰ is an apocalyptic number.

10040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040 is an abundant number, since it is smaller than the sum of its proper divisors (12640).

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 (11340).

10040 is a wasteful number, since it uses less digits than its factorization.

10040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 10040 is about 100.1998003990. The cubic root of 10040 is about 21.5730344800.

Adding to 10040 its reverse (4001), we get a palindrome (14041).

The spelling of 10040 in words is "ten thousand, forty", and thus it is an iban number.