12440 has 16 divisors (see below), whose sum is σ = 28080. Its totient is φ = 4960.

The previous prime is 12437. The next prime is 12451. The reversal of 12440 is 4421.

12440 = T₃₃ + T₃₄ + ... + T₄₇.

12440 = 20² + 21² + ... + 35².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

2¹²⁴⁴⁰ is an apocalyptic number.

12440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12440 is an abundant number, since it is smaller than the sum of its proper divisors (15640).

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 (14040).

12440 is a wasteful number, since it uses less digits than its factorization.

12440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12440 is about 111.5347479488. The cubic root of 12440 is about 23.1707518861.

Adding to 12440 its reverse (4421), we get a palindrome (16861).

The spelling of 12440 in words is "twelve thousand, four hundred forty", and thus it is an iban number.