14004102000000 has 2688 divisors, whose sum is σ = 59956107552000. Its totient is φ = 2874009600000.

The previous prime is 14004101999983. The next prime is 14004102000061. The reversal of 14004102000000 is 20140041.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-3 number, since 3×14004102000000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 14004102000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 128477999946 + ... + 128478000054.

Almost surely, 2^{14004102000000} is an apocalyptic number.

14004102000000 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 14004102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29978053776000).

14004102000000 is an abundant number, since it is smaller than the sum of its proper divisors (45952005552000).

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

14004102000000 is an equidigital number, since it uses as much as digits as its factorization.

14004102000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 14004102000000 its reverse (20140041), we get a palindrome (14004122140041).

The spelling of 14004102000000 in words is "fourteen trillion, four billion, one hundred two million", and thus it is an aban number.