10042424040 has 192 divisors, whose sum is σ = 33208418880. Its totient is φ = 2427673600.

The previous prime is 10042424039. The next prime is 10042424057. The reversal of 10042424040 is 4042424001.

10042424040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10042423998 and 10042424016.

It is an unprimeable number.

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, 6780100 + ... + 6781580.

It is an arithmetic number, because the mean of its divisors is an integer number (172960515).

Almost surely, 2^10042424040 is an apocalyptic number.

10042424040 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 10042424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604209440).

10042424040 is an abundant number, since it is smaller than the sum of its proper divisors (23165994840).

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

10042424040 is a wasteful number, since it uses less digits than its factorization.

10042424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10042424040 its reverse (4042424001), we get a palindrome (14084848041).

The spelling of 10042424040 in words is "ten billion, forty-two million, four hundred twenty-four thousand, forty".