320434423400 has 192 divisors, whose sum is σ = 923097168000. Its totient is φ = 100730741760.

The previous prime is 320434423391. The next prime is 320434423409. The reversal of 320434423400 is 4324434023.

It is an interprime number because it is at equal distance from previous prime (320434423391) and next prime (320434423409).

It is not an unprimeable number, because it can be changed into a prime (320434423409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2652719 + ... + 2770881.

It is an arithmetic number, because the mean of its divisors is an integer number (4807797750).

Almost surely, 2^320434423400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320434423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461548584000).

320434423400 is an abundant number, since it is smaller than the sum of its proper divisors (602662744600).

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

320434423400 is a wasteful number, since it uses less digits than its factorization.

320434423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118348 (or 118339 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 320434423400 its reverse (4324434023), we get a palindrome (324758857423).

The spelling of 320434423400 in words is "three hundred twenty billion, four hundred thirty-four million, four hundred twenty-three thousand, four hundred".