24142241144 has 64 divisors (see below), whose sum is σ = 54817689600. Its totient is φ = 9730727424.

The previous prime is 24142241143. The next prime is 24142241147. The reversal of 24142241144 is 44114224142.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24142241143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361117 + ... + 1378739.

It is an arithmetic number, because the mean of its divisors is an integer number (856526400).

Almost surely, 2^24142241144 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 24142241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27408844800).

24142241144 is an abundant number, since it is smaller than the sum of its proper divisors (30675448456).

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

24142241144 is a wasteful number, since it uses less digits than its factorization.

24142241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19092 (or 19088 counting only the distinct ones).

The product of its digits is 8192, while the sum is 29.

Adding to 24142241144 its reverse (44114224142), we get a palindrome (68256465286).

The spelling of 24142241144 in words is "twenty-four billion, one hundred forty-two million, two hundred forty-one thousand, one hundred forty-four".