14278929799680 has 2560 divisors, whose sum is σ = 67729485035520. Its totient is φ = 2765472399360.

The previous prime is 14278929799643. The next prime is 14278929799699. The reversal of 14278929799680 is 8699792987241.

14278929799680 is a `hidden beast` number, since 1 + 427 + 8 + 9 + 29 + 7 + 9 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a self number, because there is not a number n which added to its sum of digits gives 14278929799680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4384072612 + ... + 4384075868.

It is an arithmetic number, because the mean of its divisors is an integer number (26456830092).

Almost surely, 2^{14278929799680} is an apocalyptic number.

14278929799680 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 14278929799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33864742517760).

14278929799680 is an abundant number, since it is smaller than the sum of its proper divisors (53450555235840).

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

14278929799680 is a wasteful number, since it uses less digits than its factorization.

14278929799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 81.

The spelling of 14278929799680 in words is "fourteen trillion, two hundred seventy-eight billion, nine hundred twenty-nine million, seven hundred ninety-nine thousand, six hundred eighty".