10024442304 has 112 divisors (see below), whose sum is σ = 26861414400. Its totient is φ = 3299046400.

The previous prime is 10024442299. The next prime is 10024442347. The reversal of 10024442304 is 40324442001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11615377 + ... + 11616239.

Almost surely, 2^10024442304 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 10024442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430707200).

10024442304 is an abundant number, since it is smaller than the sum of its proper divisors (16836972096).

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

10024442304 is a wasteful number, since it uses less digits than its factorization.

10024442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1568 counting only the distinct ones).

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

Adding to 10024442304 its reverse (40324442001), we get a palindrome (50348884305).

The spelling of 10024442304 in words is "ten billion, twenty-four million, four hundred forty-two thousand, three hundred four".