14378987280 has 240 divisors, whose sum is σ = 54107858304. Its totient is φ = 3143669760.

The previous prime is 14378987267. The next prime is 14378987281. The reversal of 14378987280 is 8278987341.

14378987280 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 (240).

It is a self number, because there is not a number n which added to its sum of digits gives 14378987280.

It is not an unprimeable number, because it can be changed into a prime (14378987281) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 243900 + ... + 297060.

Almost surely, 2^14378987280 is an apocalyptic number.

14378987280 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 14378987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27053929152).

14378987280 is an abundant number, since it is smaller than the sum of its proper divisors (39728871024).

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

14378987280 is a wasteful number, since it uses less digits than its factorization.

14378987280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53214 (or 53201 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 14378987280 in words is "fourteen billion, three hundred seventy-eight million, nine hundred eighty-seven thousand, two hundred eighty".