10142342220320 has 192 divisors, whose sum is σ = 25290620409600. Its totient is φ = 3833034670080.

The previous prime is 10142342220319. The next prime is 10142342220371. The reversal of 10142342220320 is 2302224324101.

It is a self number, because there is not a number n which added to its sum of digits gives 10142342220320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1947077876 + ... + 1947083084.

It is an arithmetic number, because the mean of its divisors is an integer number (131721981300).

Almost surely, 2^{10142342220320} is an apocalyptic number.

10142342220320 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 10142342220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645310204800).

10142342220320 is an abundant number, since it is smaller than the sum of its proper divisors (15148278189280).

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

10142342220320 is a wasteful number, since it uses less digits than its factorization.

10142342220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10142342220320 its reverse (2302224324101), we get a palindrome (12444566544421).

The spelling of 10142342220320 in words is "ten trillion, one hundred forty-two billion, three hundred forty-two million, two hundred twenty thousand, three hundred twenty".