14012166710880 has 1440 divisors, whose sum is σ = 57960214472160. Its totient is φ = 3166629396480.

The previous prime is 14012166710833. The next prime is 14012166710923. The reversal of 14012166710880 is 8801766121041.

14012166710880 is a `hidden beast` number, since 1 + 401 + 2 + 1 + 6 + 67 + 108 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1996316011 + ... + 1996323029.

It is an arithmetic number, because the mean of its divisors is an integer number (40250148939).

Almost surely, 2^{14012166710880} is an apocalyptic number.

14012166710880 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 14012166710880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28980107236080).

14012166710880 is an abundant number, since it is smaller than the sum of its proper divisors (43948047761280).

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

14012166710880 is a wasteful number, since it uses less digits than its factorization.

14012166710880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 14012166710880 in words is "fourteen trillion, twelve billion, one hundred sixty-six million, seven hundred ten thousand, eight hundred eighty".