320043340320 has 768 divisors, whose sum is σ = 1194584702976. Its totient is φ = 71216640000.

The previous prime is 320043340313. The next prime is 320043340339. The reversal of 320043340320 is 23043340023.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 568460359 + ... + 568460921.

It is an arithmetic number, because the mean of its divisors is an integer number (1555448832).

Almost surely, 2^320043340320 is an apocalyptic number.

320043340320 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 320043340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597292351488).

320043340320 is an abundant number, since it is smaller than the sum of its proper divisors (874541362656).

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

320043340320 is a wasteful number, since it uses less digits than its factorization.

320043340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 320043340320 its reverse (23043340023), we get a palindrome (343086680343).

The spelling of 320043340320 in words is "three hundred twenty billion, forty-three million, three hundred forty thousand, three hundred twenty".