320400241011200 has 360 divisors, whose sum is σ = 955261443757500. Its totient is φ = 106063522037760.

The previous prime is 320400241011161. The next prime is 320400241011283. The reversal of 320400241011200 is 2110142004023.

It can be written as a sum of positive squares in 6 ways, for example, as 59481607354624 + 260918633656576 = 7712432^2 + 16152976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9381176 + ... + 26996424.

Almost surely, 2^{320400241011200} 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 320400241011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477630721878750).

320400241011200 is an abundant number, since it is smaller than the sum of its proper divisors (634861202746300).

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

320400241011200 is a wasteful number, since it uses less digits than its factorization.

320400241011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17615320 (or 17615292 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 320400241011200 its reverse (2110142004023), we get a palindrome (322510383015223).

The spelling of 320400241011200 in words is "three hundred twenty trillion, four hundred billion, two hundred forty-one million, eleven thousand, two hundred".