10041287584 has 48 divisors (see below), whose sum is σ = 20680417800. Its totient is φ = 4793012224.

The previous prime is 10041287579. The next prime is 10041287623. The reversal of 10041287584 is 48578214001.

It can be written as a sum of positive squares in 4 ways, for example, as 6043507600 + 3997779984 = 77740^2 + 63228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21804 + ... + 143380.

Almost surely, 2^10041287584 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 10041287584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10340208900).

10041287584 is an abundant number, since it is smaller than the sum of its proper divisors (10639130216).

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

10041287584 is a wasteful number, since it uses less digits than its factorization.

10041287584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121705 (or 121697 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 10041287584 in words is "ten billion, forty-one million, two hundred eighty-seven thousand, five hundred eighty-four".