221442413214320 has 40 divisors (see below), whose sum is σ = 514855830250320. Its totient is φ = 88576583431680.

The previous prime is 221442413214313. The next prime is 221442413214331. The reversal of 221442413214320 is 23412314244122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13084580 + ... + 24780860.

It is an arithmetic number, because the mean of its divisors is an integer number (12871395756258).

Almost surely, 2^{221442413214320} is an apocalyptic number.

221442413214320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221442413214320 is an abundant number, since it is smaller than the sum of its proper divisors (293413417036000).

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

221442413214320 is a wasteful number, since it uses less digits than its factorization.

221442413214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932953 (or 11932947 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 221442413214320 its reverse (23412314244122), we get a palindrome (244854727458442).

The spelling of 221442413214320 in words is "two hundred twenty-one trillion, four hundred forty-two billion, four hundred thirteen million, two hundred fourteen thousand, three hundred twenty".