10024442340 has 96 divisors (see below), whose sum is σ = 30677197824. Its totient is φ = 2425637760.

The previous prime is 10024442299. The next prime is 10024442347. The reversal of 10024442340 is 4324442001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10024442340.

It is not an unprimeable number, because it can be changed into a prime (10024442347) 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, 347137 + ... + 374903.

It is an arithmetic number, because the mean of its divisors is an integer number (319554144).

Almost surely, 2^10024442340 is an apocalyptic number.

10024442340 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 10024442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15338598912).

10024442340 is an abundant number, since it is smaller than the sum of its proper divisors (20652755484).

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

10024442340 is a wasteful number, since it uses less digits than its factorization.

10024442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28337 (or 28335 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10024442340 its reverse (4324442001), we get a palindrome (14348884341).

The spelling of 10024442340 in words is "ten billion, twenty-four million, four hundred forty-two thousand, three hundred forty".