14140127232 has 768 divisors, whose sum is σ = 54156211200. Its totient is φ = 3583180800.

The previous prime is 14140127227. The next prime is 14140127249. The reversal of 14140127232 is 23272104141.

14140127232 is a `hidden beast` number, since 1 + 4 + 1 + 401 + 27 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14140127196 and 14140127205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344881132 + ... + 344881172.

It is an arithmetic number, because the mean of its divisors is an integer number (70515900).

Almost surely, 2^14140127232 is an apocalyptic number.

14140127232 is a gapful number since it is divisible by the number (12) 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 14140127232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27078105600).

14140127232 is an abundant number, since it is smaller than the sum of its proper divisors (40016083968).

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

14140127232 is an frugal number, since it uses more digits than its factorization.

14140127232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14140127232 in words is "fourteen billion, one hundred forty million, one hundred twenty-seven thousand, two hundred thirty-two".