320404134120 has 640 divisors, whose sum is σ = 1193575564800. Its totient is φ = 68606673408.

The previous prime is 320404134031. The next prime is 320404134143. The reversal of 320404134120 is 21431404023.

It is a super-2 number, since 2×320404134120² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 585747687 + ... + 585748233.

It is an arithmetic number, because the mean of its divisors is an integer number (1864961820).

Almost surely, 2^320404134120 is an apocalyptic number.

320404134120 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 320404134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596787782400).

320404134120 is an abundant number, since it is smaller than the sum of its proper divisors (873171430680).

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

320404134120 is a wasteful number, since it uses less digits than its factorization.

320404134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 320404134120 its reverse (21431404023), we get a palindrome (341835538143).

The spelling of 320404134120 in words is "three hundred twenty billion, four hundred four million, one hundred thirty-four thousand, one hundred twenty".