10066240128 has 384 divisors, whose sum is σ = 33670036800. Its totient is φ = 2647572480.

The previous prime is 10066240117. The next prime is 10066240159. The reversal of 10066240128 is 82104266001.

10066240128 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 (384).

It is a junction number, because it is equal to n+sod(n) for n = 10066240095 and 10066240104.

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, 13227268 + ... + 13228028.

Almost surely, 2^10066240128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16835018400).

10066240128 is an abundant number, since it is smaller than the sum of its proper divisors (23603796672).

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

10066240128 is a wasteful number, since it uses less digits than its factorization.

10066240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 10066240128 in words is "ten billion, sixty-six million, two hundred forty thousand, one hundred twenty-eight".