10023024040 has 16 divisors (see below), whose sum is σ = 22551804180. Its totient is φ = 4009209600.

The previous prime is 10023023977. The next prime is 10023024049. The reversal of 10023024040 is 4042032001.

10023024040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9499621156 + 523402884 = 97466^2 + 22878^2 .

It is a super-2 number, since 2×10023024040² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10023024049) 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 3 ways as a sum of consecutive naturals, for example, 125287761 + ... + 125287840.

Almost surely, 2^10023024040 is an apocalyptic number.

10023024040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023024040 is an abundant number, since it is smaller than the sum of its proper divisors (12528780140).

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

10023024040 is a wasteful number, since it uses less digits than its factorization.

10023024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250575612 (or 250575608 counting only the distinct ones).

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

Adding to 10023024040 its reverse (4042032001), we get a palindrome (14065056041).

The spelling of 10023024040 in words is "ten billion, twenty-three million, twenty-four thousand, forty".