14241083220000 has 720 divisors, whose sum is σ = 62284873210560. Its totient is φ = 3004708608000.

The previous prime is 14241083219977. The next prime is 14241083220031. The reversal of 14241083220000 is 2238014241.

14241083220000 is a `hidden beast` number, since 1 + 42 + 410 + 8 + 3 + 2 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 15945291 + ... + 16814709.

It is an arithmetic number, because the mean of its divisors is an integer number (86506768348).

Almost surely, 2^{14241083220000} is an apocalyptic number.

14241083220000 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 14241083220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31142436605280).

14241083220000 is an abundant number, since it is smaller than the sum of its proper divisors (48043789990560).

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

14241083220000 is a wasteful number, since it uses less digits than its factorization.

14241083220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869475 (or 869449 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14241083220000 in words is "fourteen trillion, two hundred forty-one billion, eighty-three million, two hundred twenty thousand".