14260550216640 has 1792 divisors, whose sum is σ = 60012262195200. Its totient is φ = 2785309949952.

The previous prime is 14260550216623. The next prime is 14260550216641. The reversal of 14260550216640 is 4661205506241.

It is a super-3 number, since 3×14260550216640³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14260550216592 and 14260550216601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14260550216641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21838514554 + ... + 21838515206.

It is an arithmetic number, because the mean of its divisors is an integer number (33488985600).

Almost surely, 2^{14260550216640} is an apocalyptic number.

14260550216640 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 14260550216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30006131097600).

14260550216640 is an abundant number, since it is smaller than the sum of its proper divisors (45751711978560).

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

14260550216640 is a wasteful number, since it uses less digits than its factorization.

14260550216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 14260550216640 in words is "fourteen trillion, two hundred sixty billion, five hundred fifty million, two hundred sixteen thousand, six hundred forty".