201223321044400 has 240 divisors, whose sum is σ = 535210105789440. Its totient is φ = 72400941849600.

The previous prime is 201223321044367. The next prime is 201223321044409. The reversal of 201223321044400 is 4440123322102.

It is not an unprimeable number, because it can be changed into a prime (201223321044409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4429359 + ... + 20544241.

It is an arithmetic number, because the mean of its divisors is an integer number (2230042107456).

Almost surely, 2^{201223321044400} is an apocalyptic number.

201223321044400 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 201223321044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267605052894720).

201223321044400 is an abundant number, since it is smaller than the sum of its proper divisors (333986784745040).

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

201223321044400 is a wasteful number, since it uses less digits than its factorization.

201223321044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16115004 (or 16114993 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 201223321044400 its reverse (4440123322102), we get a palindrome (205663444366502).

The spelling of 201223321044400 in words is "two hundred one trillion, two hundred twenty-three billion, three hundred twenty-one million, forty-four thousand, four hundred".