320113402440 has 128 divisors (see below), whose sum is σ = 1034445565440. Its totient is φ = 78779390976.

The previous prime is 320113402439. The next prime is 320113402463. The reversal of 320113402440 is 44204311023.

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

It is a self number, because there is not a number n which added to its sum of digits gives 320113402440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7737249 + ... + 7778511.

It is an arithmetic number, because the mean of its divisors is an integer number (8081605980).

Almost surely, 2^320113402440 is an apocalyptic number.

320113402440 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 320113402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517222782720).

320113402440 is an abundant number, since it is smaller than the sum of its proper divisors (714332163000).

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

320113402440 is a wasteful number, since it uses less digits than its factorization.

320113402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46263 (or 46259 counting only the distinct ones).

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

Adding to 320113402440 its reverse (44204311023), we get a palindrome (364317713463).

The spelling of 320113402440 in words is "three hundred twenty billion, one hundred thirteen million, four hundred two thousand, four hundred forty".