10024241340 has 96 divisors (see below), whose sum is σ = 29348928000. Its totient is φ = 2551608576.

The previous prime is 10024241329. The next prime is 10024241341. The reversal of 10024241340 is 4314242001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024241341) 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 31 ways as a sum of consecutive naturals, for example, 681342 + ... + 695898.

It is an arithmetic number, because the mean of its divisors is an integer number (305718000).

Almost surely, 2^10024241340 is an apocalyptic number.

10024241340 is a gapful number since it is divisible by the number (10) 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 10024241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14674464000).

10024241340 is an abundant number, since it is smaller than the sum of its proper divisors (19324686660).

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

10024241340 is a wasteful number, since it uses less digits than its factorization.

10024241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15091 (or 15089 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10024241340 its reverse (4314242001), we get a palindrome (14338483341).

The spelling of 10024241340 in words is "ten billion, twenty-four million, two hundred forty-one thousand, three hundred forty".