10024233213042 has 96 divisors (see below), whose sum is σ = 22944867573888. Its totient is φ = 3156649993728.

The previous prime is 10024233213017. The next prime is 10024233213109. The reversal of 10024233213042 is 24031233242001.

10024233213042 is a `hidden beast` number, since 1 + 0 + 0 + 24 + 2 + 332 + 1 + 304 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10024233212997 and 10024233213015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12860728 + ... + 13617884.

It is an arithmetic number, because the mean of its divisors is an integer number (239009037228).

Almost surely, 2^{10024233213042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024233213042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11472433786944).

10024233213042 is an abundant number, since it is smaller than the sum of its proper divisors (12920634360846).

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

10024233213042 is a wasteful number, since it uses less digits than its factorization.

10024233213042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757584 (or 757581 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10024233213042 its reverse (24031233242001), we get a palindrome (34055466455043).

The spelling of 10024233213042 in words is "ten trillion, twenty-four billion, two hundred thirty-three million, two hundred thirteen thousand, forty-two".