14316040000 has 280 divisors, whose sum is σ = 38671027560. Its totient is φ = 5234688000.

The previous prime is 14316039961. The next prime is 14316040003. The reversal of 14316040000 is 4061341.

It is a happy number.

14316040000 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 20 ways, for example, as 13061746944 + 1254293056 = 114288^2 + 35416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14316040000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14316040003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 25159716 + ... + 25160284.

Almost surely, 2^14316040000 is an apocalyptic number.

14316040000 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 14316040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19335513780).

14316040000 is an abundant number, since it is smaller than the sum of its proper divisors (24354987560).

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

14316040000 is an equidigital number, since it uses as much as digits as its factorization.

14316040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The spelling of 14316040000 in words is "fourteen billion, three hundred sixteen million, forty thousand".