320040206304 has 192 divisors, whose sum is σ = 1034336894976. Its totient is φ = 84376756224.

The previous prime is 320040206303. The next prime is 320040206309. The reversal of 320040206304 is 403602040023.

It is a happy number.

It is a super-2 number, since 2×320040206304² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320040206303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37883809 + ... + 37892255.

It is an arithmetic number, because the mean of its divisors is an integer number (5387171328).

Almost surely, 2^320040206304 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 320040206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517168447488).

320040206304 is an abundant number, since it is smaller than the sum of its proper divisors (714296688672).

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

320040206304 is a wasteful number, since it uses less digits than its factorization.

320040206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12817 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320040206304 its reverse (403602040023), we get a palindrome (723642246327).

The spelling of 320040206304 in words is "three hundred twenty billion, forty million, two hundred six thousand, three hundred four".