14040576032 has 192 divisors, whose sum is σ = 33530112000. Its totient is φ = 5780839680.

The previous prime is 14040576031. The next prime is 14040576089. The reversal of 14040576032 is 23067504041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14040576032.

It is not an unprimeable number, because it can be changed into a prime (14040576031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33509519 + ... + 33509937.

It is an arithmetic number, because the mean of its divisors is an integer number (174636000).

Almost surely, 2^14040576032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14040576032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056000).

14040576032 is an abundant number, since it is smaller than the sum of its proper divisors (19489535968).

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

14040576032 is an equidigital number, since it uses as much as digits as its factorization.

14040576032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 14040576032 in words is "fourteen billion, forty million, five hundred seventy-six thousand, thirty-two".