14222941824000 has 1408 divisors, whose sum is σ = 58561053917184. Its totient is φ = 2983772160000.

The previous prime is 14222941823969. The next prime is 14222941824017. The reversal of 14222941824000 is 42814922241.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14222941824000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6674302935 + ... + 6674305065.

Almost surely, 2^{14222941824000} is an apocalyptic number.

14222941824000 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 14222941824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29280526958592).

14222941824000 is an abundant number, since it is smaller than the sum of its proper divisors (44338112093184).

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

14222941824000 is a wasteful number, since it uses less digits than its factorization.

14222941824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 14222941824000 in words is "fourteen trillion, two hundred twenty-two billion, nine hundred forty-one million, eight hundred twenty-four thousand".