13214411340 has 192 divisors, whose sum is σ = 40626302976. Its totient is φ = 3189593088.

The previous prime is 13214411281. The next prime is 13214411363. The reversal of 13214411340 is 4311441231.

13214411340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13214411340.

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 63 ways as a sum of consecutive naturals, for example, 15311749 + ... + 15312611.

It is an arithmetic number, because the mean of its divisors is an integer number (211595328).

Almost surely, 2^13214411340 is an apocalyptic number.

13214411340 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 13214411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313151488).

13214411340 is an abundant number, since it is smaller than the sum of its proper divisors (27411891636).

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

13214411340 is a wasteful number, since it uses less digits than its factorization.

13214411340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13214411340 its reverse (4311441231), we get a palindrome (17525852571).

The spelling of 13214411340 in words is "thirteen billion, two hundred fourteen million, four hundred eleven thousand, three hundred forty".