10142124024320 has 160 divisors (see below), whose sum is σ = 25601514523200. Its totient is φ = 3842681389056.

The previous prime is 10142124024271. The next prime is 10142124024367. The reversal of 10142124024320 is 2342042124101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 10142124024320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365613011 + ... + 365640749.

It is an arithmetic number, because the mean of its divisors is an integer number (160009465770).

Almost surely, 2^{10142124024320} is an apocalyptic number.

10142124024320 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 10142124024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800757261600).

10142124024320 is an abundant number, since it is smaller than the sum of its proper divisors (15459390498880).

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

10142124024320 is an equidigital number, since it uses as much as digits as its factorization.

10142124024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35298 (or 35282 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10142124024320 its reverse (2342042124101), we get a palindrome (12484166148421).

The spelling of 10142124024320 in words is "ten trillion, one hundred forty-two billion, one hundred twenty-four million, twenty-four thousand, three hundred twenty".