320410444124034 has 384 divisors, whose sum is σ = 837399265597440. Its totient is φ = 87524061926400.

The previous prime is 320410444124009. The next prime is 320410444124041. The reversal of 320410444124034 is 430421444014023.

320410444124034 is a `hidden beast` number, since 3 + 20 + 41 + 0 + 444 + 124 + 0 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 320410444124034.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 960103269 + ... + 960436935.

It is an arithmetic number, because the mean of its divisors is an integer number (2180727254160).

Almost surely, 2^{320410444124034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320410444124034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418699632798720).

320410444124034 is an abundant number, since it is smaller than the sum of its proper divisors (516988821473406).

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

320410444124034 is a wasteful number, since it uses less digits than its factorization.

320410444124034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333926 (or 333923 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 320410444124034 its reverse (430421444014023), we get a palindrome (750831888138057).

It can be divided in two parts, 320410 and 444124034, that added together give a palindrome (444444444).

The spelling of 320410444124034 in words is "three hundred twenty trillion, four hundred ten billion, four hundred forty-four million, one hundred twenty-four thousand, thirty-four".