14134120000 has 560 divisors, whose sum is σ = 47190794112. Its totient is φ = 4055040000.

The previous prime is 14134119997. The next prime is 14134120009. The reversal of 14134120000 is 2143141.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14134120009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40039824 + ... + 40040176.

Almost surely, 2^14134120000 is an apocalyptic number.

14134120000 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 14134120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23595397056).

14134120000 is an abundant number, since it is smaller than the sum of its proper divisors (33056674112).

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

14134120000 is a wasteful number, since it uses less digits than its factorization.

14134120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14134120000 its reverse (2143141), we get a palindrome (14136263141).

The spelling of 14134120000 in words is "fourteen billion, one hundred thirty-four million, one hundred twenty thousand".