10142311344 has 160 divisors (see below), whose sum is σ = 28953289728. Its totient is φ = 3033888000.

The previous prime is 10142311343. The next prime is 10142311369. The reversal of 10142311344 is 44311324101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10142311343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22894387 + ... + 22894829.

Almost surely, 2^10142311344 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 10142311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476644864).

10142311344 is an abundant number, since it is smaller than the sum of its proper divisors (18810978384).

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

10142311344 is a wasteful number, since it uses less digits than its factorization.

10142311344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10142311344 its reverse (44311324101), we get a palindrome (54453635445).

The spelling of 10142311344 in words is "ten billion, one hundred forty-two million, three hundred eleven thousand, three hundred forty-four".