24142107792 has 120 divisors (see below), whose sum is σ = 68737600512. Its totient is φ = 7296016640.

The previous prime is 24142107733. The next prime is 24142107797. The reversal of 24142107792 is 29770124142.

It is a self number, because there is not a number n which added to its sum of digits gives 24142107792.

It is not an unprimeable number, because it can be changed into a prime (24142107797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2219038 + ... + 2229890.

Almost surely, 2^24142107792 is an apocalyptic number.

24142107792 is a gapful number since it is divisible by the number (22) 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 24142107792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34368800256).

24142107792 is an abundant number, since it is smaller than the sum of its proper divisors (44595492720).

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

24142107792 is a wasteful number, since it uses less digits than its factorization.

24142107792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269 (or 11252 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 24142107792 in words is "twenty-four billion, one hundred forty-two million, one hundred seven thousand, seven hundred ninety-two".