14011200000 has 720 divisors, whose sum is σ = 58179401280. Its totient is φ = 3179520000.

The previous prime is 14011199999. The next prime is 14011200019. The reversal of 14011200000 is 211041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100799931 + ... + 100800069.

It is an arithmetic number, because the mean of its divisors is an integer number (80804724).

Almost surely, 2^14011200000 is an apocalyptic number.

14011200000 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 14011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29089700640).

14011200000 is an abundant number, since it is smaller than the sum of its proper divisors (44168201280).

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

14011200000 is an frugal number, since it uses more digits than its factorization.

14011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 14011200000 its reverse (211041), we get a palindrome (14011411041).

The spelling of 14011200000 in words is "fourteen billion, eleven million, two hundred thousand".