14271324480 has 336 divisors, whose sum is σ = 57248755200. Its totient is φ = 3261791232.

The previous prime is 14271324421. The next prime is 14271324497. The reversal of 14271324480 is 8442317241.

14271324480 is a `hidden beast` number, since 1 + 42 + 7 + 132 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×14271324480³ (a number of 31 digits) contains 333 as substring.

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

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980617 + ... + 995063.

It is an arithmetic number, because the mean of its divisors is an integer number (170383200).

Almost surely, 2^14271324480 is an apocalyptic number.

14271324480 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 14271324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28624377600).

14271324480 is an abundant number, since it is smaller than the sum of its proper divisors (42977430720).

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

14271324480 is a wasteful number, since it uses less digits than its factorization.

14271324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14491 (or 14464 counting only the distinct ones).

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

The spelling of 14271324480 in words is "fourteen billion, two hundred seventy-one million, three hundred twenty-four thousand, four hundred eighty".