14413973945280 has 896 divisors, whose sum is σ = 60801250406400. Its totient is φ = 2808643977216.

The previous prime is 14413973945237. The next prime is 14413973945281. The reversal of 14413973945280 is 8254937931441.

14413973945280 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 (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413973945281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58145436 + ... + 58392804.

It is an arithmetic number, because the mean of its divisors is an integer number (67858538400).

Almost surely, 2^{14413973945280} is an apocalyptic number.

14413973945280 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 14413973945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30400625203200).

14413973945280 is an abundant number, since it is smaller than the sum of its proper divisors (46387276461120).

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

14413973945280 is a wasteful number, since it uses less digits than its factorization.

14413973945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247461 (or 247451 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 14413973945280 in words is "fourteen trillion, four hundred thirteen billion, nine hundred seventy-three million, nine hundred forty-five thousand, two hundred eighty".