14820286440960 has 3840 divisors, whose sum is σ = 74950082887680. Its totient is φ = 2603778048000.

The previous prime is 14820286440913. The next prime is 14820286440977. The reversal of 14820286440960 is 6904468202841.

It is a happy number.

14820286440960 is a `hidden beast` number, since 1 + 48 + 20 + 2 + 86 + 440 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a junction number, because it is equal to n+sod(n) for n = 14820286440897 and 14820286440906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13584130015 + ... + 13584131105.

It is an arithmetic number, because the mean of its divisors is an integer number (19518250752).

Almost surely, 2^{14820286440960} is an apocalyptic number.

14820286440960 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 14820286440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37475041443840).

14820286440960 is an abundant number, since it is smaller than the sum of its proper divisors (60129796446720).

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

14820286440960 is a wasteful number, since it uses less digits than its factorization.

14820286440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 14820286440960 in words is "fourteen trillion, eight hundred twenty billion, two hundred eighty-six million, four hundred forty thousand, nine hundred sixty".