10440 has 48 divisors (see below), whose sum is σ = 35100. Its totient is φ = 2688.

The previous prime is 10433. The next prime is 10453. The reversal of 10440 is 4401.

10440 = T_{11} + T_{12} + ... +
T_{39}.

10440 is a nontrivial binomial coefficient, being equal to C(145, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 36 = 102^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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

10440 is an undulating number in base 12.

It is an unprimeable number.

10440 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 346 + ... + 374.

2^{10440} is an apocalyptic number.

10440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10440 is the 144-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17550).

10440 is an abundant number, since it is smaller than the sum of its proper divisors (24660).

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

10440 is a wasteful number, since it uses less digits than its factorization.

10440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10440 is about 102.1763181956. The cubic root of 10440 is about 21.8558062931.

Adding to 10440 its reverse (4401), we get a palindrome (14841).

It can be divided in two parts, 104 and 40, that added together give a square (144 = 12^{2}).

The spelling of 10440 in words is "ten thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440

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