220340511342 has 192 divisors, whose sum is σ = 596500070400. Its totient is φ = 57380996160.

The previous prime is 220340511319. The next prime is 220340511353. The reversal of 220340511342 is 243115043022.

220340511342 is a `hidden beast` number, since 2 + 203 + 405 + 1 + 13 + 42 = 666.

220340511342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6621967 + ... + 6655157.

It is an arithmetic number, because the mean of its divisors is an integer number (3106771200).

Almost surely, 2^220340511342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220340511342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298250035200).

220340511342 is an abundant number, since it is smaller than the sum of its proper divisors (376159559058).

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

220340511342 is a wasteful number, since it uses less digits than its factorization.

220340511342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33331 (or 33328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 220340511342 its reverse (243115043022), we get a palindrome (463455554364).

The spelling of 220340511342 in words is "two hundred twenty billion, three hundred forty million, five hundred eleven thousand, three hundred forty-two".