10024032040 has 192 divisors, whose sum is σ = 26372304000. Its totient is φ = 3418821120.

The previous prime is 10024032037. The next prime is 10024032043. The reversal of 10024032040 is 4023042001.

10024032040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10024032037) and next prime (10024032043).

It is not an unprimeable number, because it can be changed into a prime (10024032043) 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 47 ways as a sum of consecutive naturals, for example, 5899111 + ... + 5900809.

It is an arithmetic number, because the mean of its divisors is an integer number (137355750).

Almost surely, 2^10024032040 is an apocalyptic number.

10024032040 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 10024032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186152000).

10024032040 is an abundant number, since it is smaller than the sum of its proper divisors (16348271960).

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

10024032040 is a wasteful number, since it uses less digits than its factorization.

10024032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1793 counting only the distinct ones).

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

Adding to 10024032040 its reverse (4023042001), we get a palindrome (14047074041).

The spelling of 10024032040 in words is "ten billion, twenty-four million, thirty-two thousand, forty".