140224021014144 has 128 divisors (see below), whose sum is σ = 378532730465280. Its totient is φ = 45982392192000.

The previous prime is 140224021014071. The next prime is 140224021014163. The reversal of 140224021014144 is 441410120422041.

It is a tau number, because it is divible by the number of its divisors (128).

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, 15693067 + ... + 22950389.

It is an arithmetic number, because the mean of its divisors is an integer number (2957286956760).

Almost surely, 2^{140224021014144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140224021014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189266365232640).

140224021014144 is an abundant number, since it is smaller than the sum of its proper divisors (238308709451136).

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

140224021014144 is an equidigital number, since it uses as much as digits as its factorization.

140224021014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258158 (or 7258146 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 140224021014144 its reverse (441410120422041), we get a palindrome (581634141436185).

The spelling of 140224021014144 in words is "one hundred forty trillion, two hundred twenty-four billion, twenty-one million, fourteen thousand, one hundred forty-four".