320214414320 has 40 divisors (see below), whose sum is σ = 776868018336. Its totient is φ = 122516818688.

The previous prime is 320214414271. The next prime is 320214414329. The reversal of 320214414320 is 23414412023.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×320214414320² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320214414320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320214414329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 87012947 + ... + 87016626.

Almost surely, 2^320214414320 is an apocalyptic number.

It is an amenable number.

320214414320 is an abundant number, since it is smaller than the sum of its proper divisors (456653604016).

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

320214414320 is a wasteful number, since it uses less digits than its factorization.

320214414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174029609 (or 174029603 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 320214414320 its reverse (23414412023), we get a palindrome (343628826343).

The spelling of 320214414320 in words is "three hundred twenty billion, two hundred fourteen million, four hundred fourteen thousand, three hundred twenty".