14107944960000 has 1500 divisors, whose sum is σ = 53619241047372. Its totient is φ = 3694657536000.

The previous prime is 14107944959971. The next prime is 14107944960001. The reversal of 14107944960000 is 6944970141.

14107944960000 is a `hidden beast` number, since 141 + 0 + 7 + 9 + 449 + 60 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 12200098922496 + 1907846037504 = 3492864^2 + 1381248^2 .

It is a tau number, because it is divible by the number of its divisors (1500).

It is a super-2 number, since 2×14107944960000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14107944960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 60549119884 + ... + 60549120116.

Almost surely, 2^{14107944960000} is an apocalyptic number.

14107944960000 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 14107944960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26809620523686).

14107944960000 is an abundant number, since it is smaller than the sum of its proper divisors (39511296087372).

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

14107944960000 is an frugal number, since it uses more digits than its factorization.

14107944960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14107944960000 in words is "fourteen trillion, one hundred seven billion, nine hundred forty-four million, nine hundred sixty thousand".