10112328240 has 320 divisors, whose sum is σ = 37053628416. Its totient is φ = 2233506816.

The previous prime is 10112328227. The next prime is 10112328241. The reversal of 10112328240 is 4282321101.

10112328240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10112328240.

It is not an unprimeable number, because it can be changed into a prime (10112328241) 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 63 ways as a sum of consecutive naturals, for example, 6552909 + ... + 6554451.

Almost surely, 2^10112328240 is an apocalyptic number.

10112328240 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 10112328240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18526814208).

10112328240 is an abundant number, since it is smaller than the sum of its proper divisors (26941300176).

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

10112328240 is a wasteful number, since it uses less digits than its factorization.

10112328240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10112328240 its reverse (4282321101), we get a palindrome (14394649341).

The spelling of 10112328240 in words is "ten billion, one hundred twelve million, three hundred twenty-eight thousand, two hundred forty".