10440322113440 has 96 divisors (see below), whose sum is σ = 25518624762960. Its totient is φ = 4031676006400.

The previous prime is 10440322113437. The next prime is 10440322113443. The reversal of 10440322113440 is 4431122304401.

It is an interprime number because it is at equal distance from previous prime (10440322113437) and next prime (10440322113443).

It can be written as a sum of positive squares in 8 ways, for example, as 3640723492624 + 6799598620816 = 1908068^2 + 2607604^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10440322113443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43221800 + ... + 43462680.

Almost surely, 2^{10440322113440} is an apocalyptic number.

10440322113440 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 10440322113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759312381480).

10440322113440 is an abundant number, since it is smaller than the sum of its proper divisors (15078302649520).

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

10440322113440 is a wasteful number, since it uses less digits than its factorization.

10440322113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250266 (or 250258 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10440322113440 its reverse (4431122304401), we get a palindrome (14871444417841).

The spelling of 10440322113440 in words is "ten trillion, four hundred forty billion, three hundred twenty-two million, one hundred thirteen thousand, four hundred forty".