221444042320000 has 320 divisors, whose sum is σ = 583825399819200. Its totient is φ = 83461796352000.

The previous prime is 221444042319947. The next prime is 221444042320027. The reversal of 221444042320000 is 23240444122.

221444042320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122381866 + ... + 124178134.

It is an arithmetic number, because the mean of its divisors is an integer number (1824454374435).

Almost surely, 2^{221444042320000} is an apocalyptic number.

221444042320000 is a gapful number since it is divisible by the number (20) 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 221444042320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291912699909600).

221444042320000 is an abundant number, since it is smaller than the sum of its proper divisors (362381357499200).

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

221444042320000 is an equidigital number, since it uses as much as digits as its factorization.

221444042320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796393 (or 1796366 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 221444042320000 its reverse (23240444122), we get a palindrome (221467282764122).

The spelling of 221444042320000 in words is "two hundred twenty-one trillion, four hundred forty-four billion, forty-two million, three hundred twenty thousand".