10342233442000 has 80 divisors (see below), whose sum is σ = 25020768099600. Its totient is φ = 4134701875200.

The previous prime is 10342233441997. The next prime is 10342233442039. The reversal of 10342233442000 is 24433224301.

It can be written as a sum of positive squares in 8 ways, for example, as 3181557150864 + 7160676291136 = 1783692^2 + 2675944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10342233442000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2409256 + ... + 5146744.

It is an arithmetic number, because the mean of its divisors is an integer number (312759601245).

Almost surely, 2^{10342233442000} is an apocalyptic number.

10342233442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342233442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510384049800).

10342233442000 is an abundant number, since it is smaller than the sum of its proper divisors (14678534657600).

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

10342233442000 is a wasteful number, since it uses less digits than its factorization.

10342233442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739401 (or 2739385 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10342233442000 its reverse (24433224301), we get a palindrome (10366666666301).

The spelling of 10342233442000 in words is "ten trillion, three hundred forty-two billion, two hundred thirty-three million, four hundred forty-two thousand".