14034224000 has 128 divisors (see below), whose sum is σ = 35015310720. Its totient is φ = 5593958400.

The previous prime is 14034223999. The next prime is 14034224003. The reversal of 14034224000 is 42243041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14034224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5070617 + ... + 5073383.

It is an arithmetic number, because the mean of its divisors is an integer number (273557115).

Almost surely, 2^14034224000 is an apocalyptic number.

14034224000 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 14034224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507655360).

14034224000 is an abundant number, since it is smaller than the sum of its proper divisors (20981086720).

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

14034224000 is an equidigital number, since it uses as much as digits as its factorization.

14034224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14034224000 its reverse (42243041), we get a palindrome (14076467041).

The spelling of 14034224000 in words is "fourteen billion, thirty-four million, two hundred twenty-four thousand".