10082039731224 has 256 divisors, whose sum is σ = 27079291699200. Its totient is φ = 3121058572800.

The previous prime is 10082039731199. The next prime is 10082039731229. The reversal of 10082039731224 is 42213793028001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082039731229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2569980127 + ... + 2569984049.

It is an arithmetic number, because the mean of its divisors is an integer number (105778483200).

Almost surely, 2^{10082039731224} 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 10082039731224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539645849600).

10082039731224 is an abundant number, since it is smaller than the sum of its proper divisors (16997251967976).

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

10082039731224 is a wasteful number, since it uses less digits than its factorization.

10082039731224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10082039731224 in words is "ten trillion, eighty-two billion, thirty-nine million, seven hundred thirty-one thousand, two hundred twenty-four".