14213141331120 has 240 divisors, whose sum is σ = 48335975487072. Its totient is φ = 3742303457280.

The previous prime is 14213141331119. The next prime is 14213141331149. The reversal of 14213141331120 is 2113314131241.

14213141331120 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 314 + 1 + 331 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 102777862 + ... + 102916058.

Almost surely, 2^{14213141331120} is an apocalyptic number.

14213141331120 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 14213141331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24167987743536).

14213141331120 is an abundant number, since it is smaller than the sum of its proper divisors (34122834155952).

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

14213141331120 is a wasteful number, since it uses less digits than its factorization.

14213141331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140020 (or 140011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 14213141331120 its reverse (2113314131241), we get a palindrome (16326455462361).

The spelling of 14213141331120 in words is "fourteen trillion, two hundred thirteen billion, one hundred forty-one million, three hundred thirty-one thousand, one hundred twenty".