14082281472000 has 1024 divisors, whose sum is σ = 54588369139200. Its totient is φ = 3157052620800.

The previous prime is 14082281471981. The next prime is 14082281472047. The reversal of 14082281472000 is 27418228041.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a self number, because there is not a number n which added to its sum of digits gives 14082281472000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4558846456 + ... + 4558849544.

Almost surely, 2^{14082281472000} is an apocalyptic number.

14082281472000 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 14082281472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27294184569600).

14082281472000 is an abundant number, since it is smaller than the sum of its proper divisors (40506087667200).

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

14082281472000 is an frugal number, since it uses more digits than its factorization.

14082281472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 14082281472000 in words is "fourteen trillion, eighty-two billion, two hundred eighty-one million, four hundred seventy-two thousand".