10010441124306 has 128 divisors (see below), whose sum is σ = 26536570306560. Its totient is φ = 2734961651136.

The previous prime is 10010441124259. The next prime is 10010441124319. The reversal of 10010441124306 is 60342114401001.

10010441124306 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 4 + 411 + 243 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10010441124306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29451480 + ... + 29789436.

It is an arithmetic number, because the mean of its divisors is an integer number (207316955520).

Almost surely, 2^{10010441124306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010441124306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13268285153280).

10010441124306 is an abundant number, since it is smaller than the sum of its proper divisors (16526129182254).

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

10010441124306 is a wasteful number, since it uses less digits than its factorization.

10010441124306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341405 (or 341399 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10010441124306 its reverse (60342114401001), we get a palindrome (70352555525307).

The spelling of 10010441124306 in words is "ten trillion, ten billion, four hundred forty-one million, one hundred twenty-four thousand, three hundred six".