14814420809280 has 448 divisors, whose sum is σ = 48721667961600. Its totient is φ = 3811711647744.

The previous prime is 14814420809233. The next prime is 14814420809291. The reversal of 14814420809280 is 8290802441841.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 1311121071 + ... + 1311132369.

Almost surely, 2^{14814420809280} is an apocalyptic number.

14814420809280 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 14814420809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24360833980800).

14814420809280 is an abundant number, since it is smaller than the sum of its proper divisors (33907247152320).

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

14814420809280 is a wasteful number, since it uses less digits than its factorization.

14814420809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11798 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 14814420809280 in words is "fourteen trillion, eight hundred fourteen billion, four hundred twenty million, eight hundred nine thousand, two hundred eighty".