10540323144 has 144 divisors (see below), whose sum is σ = 31909812480. Its totient is φ = 3138445440.

The previous prime is 10540323121. The next prime is 10540323149. The reversal of 10540323144 is 44132304501.

It is a happy number.

It is a super-2 number, since 2×10540323144² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540323149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363237 + ... + 391179.

It is an arithmetic number, because the mean of its divisors is an integer number (221595920).

Almost surely, 2^10540323144 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 10540323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15954906240).

10540323144 is an abundant number, since it is smaller than the sum of its proper divisors (21369489336).

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

10540323144 is a wasteful number, since it uses less digits than its factorization.

10540323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28012 (or 27992 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10540323144 its reverse (44132304501), we get a palindrome (54672627645).

The spelling of 10540323144 in words is "ten billion, five hundred forty million, three hundred twenty-three thousand, one hundred forty-four".