320383405440 has 384 divisors, whose sum is σ = 1319346662400. Its totient is φ = 70046355456.

The previous prime is 320383405399. The next prime is 320383405469. The reversal of 320383405440 is 44504383023.

320383405440 is a `hidden beast` number, since 3 + 203 + 8 + 3 + 4 + 0 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 320383405395 and 320383405404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754621 + ... + 1100099.

It is an arithmetic number, because the mean of its divisors is an integer number (3435798600).

Almost surely, 2^320383405440 is an apocalyptic number.

320383405440 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 320383405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659673331200).

320383405440 is an abundant number, since it is smaller than the sum of its proper divisors (998963256960).

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

320383405440 is a wasteful number, since it uses less digits than its factorization.

320383405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345534 (or 345519 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 320383405440 its reverse (44504383023), we get a palindrome (364887788463).

The spelling of 320383405440 in words is "three hundred twenty billion, three hundred eighty-three million, four hundred five thousand, four hundred forty".