14045727024 has 160 divisors (see below), whose sum is σ = 46129111040. Its totient is φ = 4008434688.

The previous prime is 14045726921. The next prime is 14045727053. The reversal of 14045727024 is 42072754041.

14045727024 is a `hidden beast` number, since 14 + 0 + 4 + 572 + 70 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14045727024.

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 31 ways as a sum of consecutive naturals, for example, 3284952 + ... + 3289224.

It is an arithmetic number, because the mean of its divisors is an integer number (288306944).

Almost surely, 2^14045727024 is an apocalyptic number.

14045727024 is a gapful number since it is divisible by the number (14) 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 14045727024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064555520).

14045727024 is an abundant number, since it is smaller than the sum of its proper divisors (32083384016).

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

14045727024 is a wasteful number, since it uses less digits than its factorization.

14045727024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 14045727024 in words is "fourteen billion, forty-five million, seven hundred twenty-seven thousand, twenty-four".