2014341430000 has 200 divisors, whose sum is σ = 5168128482000. Its totient is φ = 758195712000.

The previous prime is 2014341429983. The next prime is 2014341430009. The reversal of 2014341430000 is 341434102.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2014341430000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014341430009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28274424 + ... + 28345576.

It is an arithmetic number, because the mean of its divisors is an integer number (25840642410).

Almost surely, 2^{2014341430000} is an apocalyptic number.

2014341430000 is a gapful number since it is divisible by the number (20) 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 2014341430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584064241000).

2014341430000 is an abundant number, since it is smaller than the sum of its proper divisors (3153787052000).

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

2014341430000 is a wasteful number, since it uses less digits than its factorization.

2014341430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71349 (or 71328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2014341430000 its reverse (341434102), we get a palindrome (2014682864102).

The spelling of 2014341430000 in words is "two trillion, fourteen billion, three hundred forty-one million, four hundred thirty thousand".