14001224020000 has 480 divisors, whose sum is σ = 40577879422080. Its totient is φ = 4653573120000.

The previous prime is 14001224019967. The next prime is 14001224020019. The reversal of 14001224020000 is 2042210041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1455575191 + ... + 1455584809.

It is an arithmetic number, because the mean of its divisors is an integer number (84537248796).

Almost surely, 2^{14001224020000} is an apocalyptic number.

14001224020000 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 14001224020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288939711040).

14001224020000 is an abundant number, since it is smaller than the sum of its proper divisors (26576655402080).

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

14001224020000 is an equidigital number, since it uses as much as digits as its factorization.

14001224020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14001224020000 its reverse (2042210041), we get a palindrome (14003266230041).

The spelling of 14001224020000 in words is "fourteen trillion, one billion, two hundred twenty-four million, twenty thousand".