14271162480 has 240 divisors, whose sum is σ = 49654036224. Its totient is φ = 3669442560.

The previous prime is 14271162473. The next prime is 14271162517. The reversal of 14271162480 is 8426117241.

It is a happy number.

14271162480 is a `hidden beast` number, since 1 + 4 + 27 + 1 + 1 + 624 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7074432 + ... + 7076448.

Almost surely, 2^14271162480 is an apocalyptic number.

14271162480 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 14271162480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24827018112).

14271162480 is an abundant number, since it is smaller than the sum of its proper divisors (35382873744).

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

14271162480 is a wasteful number, since it uses less digits than its factorization.

14271162480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14271162480 in words is "fourteen billion, two hundred seventy-one million, one hundred sixty-two thousand, four hundred eighty".