320535242400000 has 432 divisors, whose sum is σ = 1066509398904768. Its totient is φ = 85458938880000.

The previous prime is 320535242399921. The next prime is 320535242400001. The reversal of 320535242400000 is 4242535023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (320535242400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15928789939 + ... + 15928810061.

It is an arithmetic number, because the mean of its divisors is an integer number (2468771756724).

Almost surely, 2^{320535242400000} is an apocalyptic number.

320535242400000 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 320535242400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533254699452384).

320535242400000 is an abundant number, since it is smaller than the sum of its proper divisors (745974156504768).

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

320535242400000 is an frugal number, since it uses more digits than its factorization.

320535242400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26804 (or 26770 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 320535242400000 its reverse (4242535023), we get a palindrome (320539484935023).

The spelling of 320535242400000 in words is "three hundred twenty trillion, five hundred thirty-five billion, two hundred forty-two million, four hundred thousand".