14147414200000 has 336 divisors, whose sum is σ = 36370218157056. Its totient is φ = 5454000000000.

The previous prime is 14147414199979. The next prime is 14147414200027. The reversal of 14147414200000 is 241474141.

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, 1556195455 + ... + 1556204545.

It is an arithmetic number, because the mean of its divisors is an integer number (108244696896).

Almost surely, 2^{14147414200000} is an apocalyptic number.

14147414200000 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 14147414200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18185109078528).

14147414200000 is an abundant number, since it is smaller than the sum of its proper divisors (22222803957056).

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

14147414200000 is an frugal number, since it uses more digits than its factorization.

14147414200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

Adding to 14147414200000 its reverse (241474141), we get a palindrome (14147655674141).

The spelling of 14147414200000 in words is "fourteen trillion, one hundred forty-seven billion, four hundred fourteen million, two hundred thousand".