221433341100400 has 360 divisors, whose sum is σ = 633031702877952. Its totient is φ = 73938087168000.

The previous prime is 221433341100341. The next prime is 221433341100401. The reversal of 221433341100400 is 4001143334122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221433341100401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119255922 + ... + 121098478.

Almost surely, 2^{221433341100400} is an apocalyptic number.

221433341100400 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 221433341100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316515851438976).

221433341100400 is an abundant number, since it is smaller than the sum of its proper divisors (411598361777552).

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

221433341100400 is a wasteful number, since it uses less digits than its factorization.

221433341100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842801 (or 1842779 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 221433341100400 its reverse (4001143334122), we get a palindrome (225434484434522).

The spelling of 221433341100400 in words is "two hundred twenty-one trillion, four hundred thirty-three billion, three hundred forty-one million, one hundred thousand, four hundred".