320214411424 has 96 divisors (see below), whose sum is σ = 670877802000. Its totient is φ = 150163292160.

The previous prime is 320214411409. The next prime is 320214411437. The reversal of 320214411424 is 424114412023.

It can be written as a sum of positive squares in 8 ways, for example, as 315021767824 + 5192643600 = 561268^2 + 72060^2 .

It is a junction number, because it is equal to n+sod(n) for n = 320214411392 and 320214411401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22002102 + ... + 22016650.

Almost surely, 2^320214411424 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 320214411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335438901000).

320214411424 is an abundant number, since it is smaller than the sum of its proper divisors (350663390576).

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

320214411424 is a wasteful number, since it uses less digits than its factorization.

320214411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15266 (or 15258 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 320214411424 its reverse (424114412023), we get a palindrome (744328823447).

The spelling of 320214411424 in words is "three hundred twenty billion, two hundred fourteen million, four hundred eleven thousand, four hundred twenty-four".