220134441330 has 96 divisors (see below), whose sum is σ = 577328646960. Its totient is φ = 58194063360.

The previous prime is 220134441281. The next prime is 220134441347. The reversal of 220134441330 is 33144431022.

220134441330 is a `hidden beast` number, since 2 + 201 + 3 + 44 + 413 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 135049635081 + 85084806249 = 367491^2 + 291693^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220134441294 and 220134441303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4779210 + ... + 4825050.

Almost surely, 2^220134441330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220134441330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288664323480).

220134441330 is an abundant number, since it is smaller than the sum of its proper divisors (357194205630).

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

220134441330 is a wasteful number, since it uses less digits than its factorization.

220134441330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46316 (or 46313 counting only the distinct ones).

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

Adding to 220134441330 its reverse (33144431022), we get a palindrome (253278872352).

The spelling of 220134441330 in words is "two hundred twenty billion, one hundred thirty-four million, four hundred forty-one thousand, three hundred thirty".