221442320404000 has 96 divisors (see below), whose sum is σ = 555660032368896. Its totient is φ = 86692312595200.

The previous prime is 221442320403991. The next prime is 221442320404037. The reversal of 221442320404000 is 404023244122.

It is a self number, because there is not a number n which added to its sum of digits gives 221442320404000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588754342 + ... + 589130341.

It is an arithmetic number, because the mean of its divisors is an integer number (5788125337176).

Almost surely, 2^{221442320404000} is an apocalyptic number.

221442320404000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221442320404000 is an abundant number, since it is smaller than the sum of its proper divisors (334217711964896).

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

221442320404000 is a wasteful number, since it uses less digits than its factorization.

221442320404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177884755 (or 1177884737 counting only the distinct ones).

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

Adding to 221442320404000 its reverse (404023244122), we get a palindrome (221846343648122).

The spelling of 221442320404000 in words is "two hundred twenty-one trillion, four hundred forty-two billion, three hundred twenty million, four hundred four thousand".