14288400000 has 1008 divisors, whose sum is σ = 62053665030. Its totient is φ = 3265920000.

The previous prime is 14288399987. The next prime is 14288400031. The reversal of 14288400000 is 488241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14288400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 20575296 + 14267824704 = 4536^2 + 119448^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 2041199997 + ... + 2041200003.

Almost surely, 2^14288400000 is an apocalyptic number.

14288400000 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 14288400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026832515).

14288400000 is an abundant number, since it is smaller than the sum of its proper divisors (47765265030).

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

14288400000 is an frugal number, since it uses more digits than its factorization.

14288400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14288400000 its reverse (488241), we get a palindrome (14288888241).

The spelling of 14288400000 in words is "fourteen billion, two hundred eighty-eight million, four hundred thousand".