14014413040 has 80 divisors (see below), whose sum is σ = 34543860480. Its totient is φ = 5278279680.

The previous prime is 14014413031. The next prime is 14014413059. The reversal of 14014413040 is 4031441041.

14014413040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15396 + ... + 168124.

It is an arithmetic number, because the mean of its divisors is an integer number (431798256).

Almost surely, 2^14014413040 is an apocalyptic number.

14014413040 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 14014413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17271930240).

14014413040 is an abundant number, since it is smaller than the sum of its proper divisors (20529447440).

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

14014413040 is a wasteful number, since it uses less digits than its factorization.

14014413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152810 (or 152804 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14014413040 its reverse (4031441041), we get a palindrome (18045854081).

The spelling of 14014413040 in words is "fourteen billion, fourteen million, four hundred thirteen thousand, forty".