14024407680 has 192 divisors, whose sum is σ = 50977274400. Its totient is φ = 3542980608.

The previous prime is 14024407679. The next prime is 14024407687. The reversal of 14024407680 is 8670442041.

14024407680 is a `hidden beast` number, since 140 + 2 + 440 + 76 + 8 + 0 = 666.

14024407680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14024407687) 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 23 ways as a sum of consecutive naturals, for example, 45367 + ... + 173513.

Almost surely, 2^14024407680 is an apocalyptic number.

14024407680 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 14024407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25488637200).

14024407680 is an abundant number, since it is smaller than the sum of its proper divisors (36952866720).

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

14024407680 is a wasteful number, since it uses less digits than its factorization.

14024407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128191 (or 128176 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 14024407680 in words is "fourteen billion, twenty-four million, four hundred seven thousand, six hundred eighty".