14127733728 has 144 divisors (see below), whose sum is σ = 41867869680. Its totient is φ = 4513302528.

The previous prime is 14127733691. The next prime is 14127733759. The reversal of 14127733728 is 82733772141.

14127733728 is a `hidden beast` number, since 1 + 4 + 1 + 277 + 3 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138051 + ... + 1150397.

It is an arithmetic number, because the mean of its divisors is an integer number (290749095).

Almost surely, 2^14127733728 is an apocalyptic number.

14127733728 is a gapful number since it is divisible by the number (18) 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 14127733728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933934840).

14127733728 is an abundant number, since it is smaller than the sum of its proper divisors (27740135952).

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

14127733728 is a wasteful number, since it uses less digits than its factorization.

14127733728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12529 (or 12518 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 14127733728 in words is "fourteen billion, one hundred twenty-seven million, seven hundred thirty-three thousand, seven hundred twenty-eight".