311441112120320 has 792 divisors, whose sum is σ = 942411414218688. Its totient is φ = 98424668160000.

The previous prime is 311441112120283. The next prime is 311441112120329. The reversal of 311441112120320 is 23021211144113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 311441112120320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311441112120329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31841433830 + ... + 31841443610.

Almost surely, 2^{311441112120320} 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 311441112120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471205707109344).

311441112120320 is an abundant number, since it is smaller than the sum of its proper divisors (630970302098368).

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

311441112120320 is a wasteful number, since it uses less digits than its factorization.

311441112120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10597 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 311441112120320 its reverse (23021211144113), we get a palindrome (334462323264433).

The spelling of 311441112120320 in words is "three hundred eleven trillion, four hundred forty-one billion, one hundred twelve million, one hundred twenty thousand, three hundred twenty".