320434104111000 has 256 divisors, whose sum is σ = 1090668668544000. Its totient is φ = 77679036288000.

The previous prime is 320434104110963. The next prime is 320434104111047. The reversal of 320434104111000 is 111401434023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1642741476 + ... + 1642936524.

It is an arithmetic number, because the mean of its divisors is an integer number (4260424486500).

Almost surely, 2^{320434104111000} is an apocalyptic number.

320434104111000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320434104111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545334334272000).

320434104111000 is an abundant number, since it is smaller than the sum of its proper divisors (770234564433000).

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

320434104111000 is a wasteful number, since it uses less digits than its factorization.

320434104111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244867 (or 244853 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 320434104111000 its reverse (111401434023), we get a palindrome (320545505545023).

The spelling of 320434104111000 in words is "three hundred twenty trillion, four hundred thirty-four billion, one hundred four million, one hundred eleven thousand".