14434113211340 has 96 divisors (see below), whose sum is σ = 32955579373248. Its totient is φ = 5288887296000.

The previous prime is 14434113211337. The next prime is 14434113211363. The reversal of 14434113211340 is 4311231143441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14434113211297 and 14434113211306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4638995 + ... + 7098485.

It is an arithmetic number, because the mean of its divisors is an integer number (343287285138).

Almost surely, 2^{14434113211340} is an apocalyptic number.

14434113211340 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 14434113211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477789686624).

14434113211340 is an abundant number, since it is smaller than the sum of its proper divisors (18521466161908).

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

14434113211340 is a wasteful number, since it uses less digits than its factorization.

14434113211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459979 (or 2459977 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 14434113211340 its reverse (4311231143441), we get a palindrome (18745344354781).

The spelling of 14434113211340 in words is "fourteen trillion, four hundred thirty-four billion, one hundred thirteen million, two hundred eleven thousand, three hundred forty".