320242122133434 has 48 divisors (see below), whose sum is σ = 736561723795560. Its totient is φ = 100209843916800.

The previous prime is 320242122133411. The next prime is 320242122133459. The reversal of 320242122133434 is 434331221242023.

320242122133434 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 4 + 2 + 1 + 2 + 213 + 3 + 434 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 301872729015225 + 18369393118209 = 17374485^2 + 4285953^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345051767 + ... + 1345289834.

Almost surely, 2^{320242122133434} is an apocalyptic number.

320242122133434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

320242122133434 is an abundant number, since it is smaller than the sum of its proper divisors (416319601662126).

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

320242122133434 is a wasteful number, since it uses less digits than its factorization.

320242122133434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690342015 (or 2690342012 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 320242122133434 its reverse (434331221242023), we get a palindrome (754573343375457).

The spelling of 320242122133434 in words is "three hundred twenty trillion, two hundred forty-two billion, one hundred twenty-two million, one hundred thirty-three thousand, four hundred thirty-four".