221404134330 has 96 divisors (see below), whose sum is σ = 600891198336. Its totient is φ = 56454152832.

The previous prime is 221404134299. The next prime is 221404134359. The reversal of 221404134330 is 33431404122.

221404134330 is a `hidden beast` number, since 2 + 214 + 0 + 4 + 13 + 433 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221404134294 and 221404134303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6364464 + ... + 6399156.

It is an arithmetic number, because the mean of its divisors is an integer number (6259283316).

Almost surely, 2^221404134330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221404134330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300445599168).

221404134330 is an abundant number, since it is smaller than the sum of its proper divisors (379487064006).

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

221404134330 is a wasteful number, since it uses less digits than its factorization.

221404134330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37812 (or 37809 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 221404134330 its reverse (33431404122), we get a palindrome (254835538452).

The spelling of 221404134330 in words is "two hundred twenty-one billion, four hundred four million, one hundred thirty-four thousand, three hundred thirty".