10144113024 has 128 divisors (see below), whose sum is σ = 27932659200. Its totient is φ = 3259643904.

The previous prime is 10144113017. The next prime is 10144113037. The reversal of 10144113024 is 42031144101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1205022 + ... + 1213410.

It is an arithmetic number, because the mean of its divisors is an integer number (218223900).

Almost surely, 2^10144113024 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 10144113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13966329600).

10144113024 is an abundant number, since it is smaller than the sum of its proper divisors (17788546176).

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

10144113024 is an equidigital number, since it uses as much as digits as its factorization.

10144113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8520 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10144113024 its reverse (42031144101), we get a palindrome (52175257125).

The spelling of 10144113024 in words is "ten billion, one hundred forty-four million, one hundred thirteen thousand, twenty-four".