14201218640 has 160 divisors (see below), whose sum is σ = 40795365120. Its totient is φ = 4487933952.

The previous prime is 14201218631. The next prime is 14201218687. The reversal of 14201218640 is 4681210241.

14201218640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14201218640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 375644 + ... + 411716.

It is an arithmetic number, because the mean of its divisors is an integer number (254971032).

Almost surely, 2^14201218640 is an apocalyptic number.

14201218640 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 14201218640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20397682560).

14201218640 is an abundant number, since it is smaller than the sum of its proper divisors (26594146480).

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

14201218640 is a wasteful number, since it uses less digits than its factorization.

14201218640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36149 (or 36143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 14201218640 its reverse (4681210241), we get a palindrome (18882428881).

The spelling of 14201218640 in words is "fourteen billion, two hundred one million, two hundred eighteen thousand, six hundred forty".