11440 has 40 divisors (see below), whose sum is σ = 31248. Its totient is φ = 3840.

The previous prime is 11437. The next prime is 11443. The reversal of 11440 is 4411.

11440 = T₄₀ + T₄₁ + ... + T₅₀.

11440 = 1² + 2² + ... + 32².

11440 is a nontrivial binomial coefficient, being equal to C(16, 7).

It is an interprime number because it is at equal distance from previous prime (11437) and next prime (11443).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874 + ... + 886.

2¹¹⁴⁴⁰ is an apocalyptic number.

11440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624).

11440 is an abundant number, since it is smaller than the sum of its proper divisors (19808).

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

11440 is a wasteful number, since it uses less digits than its factorization.

11440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11440 is about 106.9579356570. The cubic root of 11440 is about 22.5324634267.

Adding to 11440 its reverse (4411), we get a palindrome (15851).

It can be divided in two parts, 114 and 40, that multiplied together give a triangular number (4560 = T₉₅).

The spelling of 11440 in words is "eleven thousand, four hundred forty", and thus it is an iban number.