14120414340000 has 240 divisors, whose sum is σ = 47569622573088. Its totient is φ = 3663674496000.

The previous prime is 14120414339923. The next prime is 14120414340001. The reversal of 14120414340000 is 4341402141.

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

It is a super-2 number, since 2×14120414340000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14120414340001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 960274 + ... + 5400273.

Almost surely, 2^{14120414340000} is an apocalyptic number.

14120414340000 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 14120414340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23784811286544).

14120414340000 is an abundant number, since it is smaller than the sum of its proper divisors (33449208233088).

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

14120414340000 is an equidigital number, since it uses as much as digits as its factorization.

14120414340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360617 (or 6360594 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14120414340000 its reverse (4341402141), we get a palindrome (14124755742141).

The spelling of 14120414340000 in words is "fourteen trillion, one hundred twenty billion, four hundred fourteen million, three hundred forty thousand".