10440520144 has 40 divisors (see below), whose sum is σ = 21007706760. Its totient is φ = 5020581888.

The previous prime is 10440520141. The next prime is 10440520229. The reversal of 10440520144 is 44102504401.

10440520144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6223316544 + 4217203600 = 78888^2 + 64940^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440520141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75472 + ... + 163024.

It is an arithmetic number, because the mean of its divisors is an integer number (525192669).

Almost surely, 2^10440520144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503853380).

10440520144 is an abundant number, since it is smaller than the sum of its proper divisors (10567186616).

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

10440520144 is a wasteful number, since it uses less digits than its factorization.

10440520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87847 (or 87841 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The spelling of 10440520144 in words is "ten billion, four hundred forty million, five hundred twenty thousand, one hundred forty-four".