14213122211340 has 432 divisors, whose sum is σ = 48763644995520. Its totient is φ = 3345155573760.

The previous prime is 14213122211329. The next prime is 14213122211347. The reversal of 14213122211340 is 4311222131241.

14213122211340 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 312 + 2 + 2 + 1 + 1 + 340 = 666.

It is not an unprimeable number, because it can be changed into a prime (14213122211347) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90786330 + ... + 90942750.

It is an arithmetic number, because the mean of its divisors is an integer number (112878807860).

Almost surely, 2^{14213122211340} is an apocalyptic number.

14213122211340 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 14213122211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24381822497760).

14213122211340 is an abundant number, since it is smaller than the sum of its proper divisors (34550522784180).

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

14213122211340 is a wasteful number, since it uses less digits than its factorization.

14213122211340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156594 (or 156576 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14213122211340 its reverse (4311222131241), we get a palindrome (18524344342581).

The spelling of 14213122211340 in words is "fourteen trillion, two hundred thirteen billion, one hundred twenty-two million, two hundred eleven thousand, three hundred forty".