320616957408400 has 135 divisors (see below), whose sum is σ = 791696058377889. Its totient is φ = 124775496829440.

The previous prime is 320616957408383. The next prime is 320616957408413. The reversal of 320616957408400 is 4804759616023.

The square root of 320616957408400 is 17905780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 149672419828624 + 170944537579776 = 12234068^2 + 13074576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13250265102 + ... + 13250289298.

It is a 1-persistent number, because it is pandigital, but 2⋅320616957408400 = 641233914816800 is not.

Almost surely, 2^{320616957408400} is an apocalyptic number.

320616957408400 is the 17905780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320616957408400

320616957408400 is an abundant number, since it is smaller than the sum of its proper divisors (471079100969489).

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

320616957408400 is an frugal number, since it uses more digits than its factorization.

320616957408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48486 (or 24241 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 320616957408400 in words is "three hundred twenty trillion, six hundred sixteen billion, nine hundred fifty-seven million, four hundred eight thousand, four hundred".