14100009744 has 320 divisors, whose sum is σ = 41140224000. Its totient is φ = 4143260160.

The previous prime is 14100009743. The next prime is 14100009779. The reversal of 14100009744 is 44790000141.

It is not an unprimeable number, because it can be changed into a prime (14100009743) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 131775739 + ... + 131775845.

It is an arithmetic number, because the mean of its divisors is an integer number (128563200).

Almost surely, 2^14100009744 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 14100009744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570112000).

14100009744 is an abundant number, since it is smaller than the sum of its proper divisors (27040214256).

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

14100009744 is a wasteful number, since it uses less digits than its factorization.

14100009744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 14100009744 its reverse (44790000141), we get a palindrome (58890009885).

It can be divided in two parts, 141000097 and 44, that added together give a palindrome (141000141).

The spelling of 14100009744 in words is "fourteen billion, one hundred million, nine thousand, seven hundred forty-four".