10024040320 has 128 divisors (see below), whose sum is σ = 28578147840. Its totient is φ = 3287353344.

The previous prime is 10024040287. The next prime is 10024040321. The reversal of 10024040320 is 2304042001.

10024040320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10024040294 and 10024040303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024040321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54399 + ... + 151681.

It is an arithmetic number, because the mean of its divisors is an integer number (223266780).

Almost surely, 2^10024040320 is an apocalyptic number.

10024040320 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 10024040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289073920).

10024040320 is an abundant number, since it is smaller than the sum of its proper divisors (18554107520).

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

10024040320 is an equidigital number, since it uses as much as digits as its factorization.

10024040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97332 (or 97320 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10024040320 its reverse (2304042001), we get a palindrome (12328082321).

The spelling of 10024040320 in words is "ten billion, twenty-four million, forty thousand, three hundred twenty".