320000002400 has 144 divisors (see below), whose sum is σ = 841812933024. Its totient is φ = 118080737280.

The previous prime is 320000002397. The next prime is 320000002411. The reversal of 320000002400 is 4200000023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18534572 + ... + 18551828.

It is an arithmetic number, because the mean of its divisors is an integer number (5845923146).

Almost surely, 2^320000002400 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 320000002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420906466512).

320000002400 is an abundant number, since it is smaller than the sum of its proper divisors (521812930624).

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

320000002400 is a wasteful number, since it uses less digits than its factorization.

320000002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19073 (or 19060 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 320000002400 its reverse (4200000023), we get a palindrome (324200002423).

The spelling of 320000002400 in words is "three hundred twenty billion, two thousand, four hundred".