320686343040 has 1024 divisors, whose sum is σ = 1279195545600. Its totient is φ = 66724331520.

The previous prime is 320686343009. The next prime is 320686343041. The reversal of 320686343040 is 40343686023.

It is a super-2 number, since 2×320686343040² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320686343040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320686343041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 744051625 + ... + 744052055.

It is an arithmetic number, because the mean of its divisors is an integer number (1249214400).

Almost surely, 2^320686343040 is an apocalyptic number.

320686343040 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 320686343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639597772800).

320686343040 is an abundant number, since it is smaller than the sum of its proper divisors (958509202560).

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

320686343040 is a wasteful number, since it uses less digits than its factorization.

320686343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 320686343040 in words is "three hundred twenty billion, six hundred eighty-six million, three hundred forty-three thousand, forty".