320101342400 has 168 divisors, whose sum is σ = 901191772416. Its totient is φ = 109624550400.

The previous prime is 320101342399. The next prime is 320101342453. The reversal of 320101342400 is 4243101023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10142645 + ... + 10174155.

Almost surely, 2^320101342400 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 320101342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450595886208).

320101342400 is an abundant number, since it is smaller than the sum of its proper divisors (581090430016).

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

320101342400 is a wasteful number, since it uses less digits than its factorization.

320101342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32447 (or 32432 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 320101342400 its reverse (4243101023), we get a palindrome (324344443423).

The spelling of 320101342400 in words is "three hundred twenty billion, one hundred one million, three hundred forty-two thousand, four hundred".