14440416480 has 768 divisors, whose sum is σ = 62386329600. Its totient is φ = 3045703680.

The previous prime is 14440416427. The next prime is 14440416527. The reversal of 14440416480 is 8461404441.

14440416480 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 0 + 4 + 1 + 648 + 0 = 666.

14440416480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 127 ways as a sum of consecutive naturals, for example, 23556654 + ... + 23557266.

It is an arithmetic number, because the mean of its divisors is an integer number (81232200).

Almost surely, 2^14440416480 is an apocalyptic number.

14440416480 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 14440416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31193164800).

14440416480 is an abundant number, since it is smaller than the sum of its proper divisors (47945913120).

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

14440416480 is a wasteful number, since it uses less digits than its factorization.

14440416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 14440416480 in words is "fourteen billion, four hundred forty million, four hundred sixteen thousand, four hundred eighty".