311404413320 has 256 divisors, whose sum is σ = 941991482880. Its totient is φ = 89476300800.

The previous prime is 311404413317. The next prime is 311404413323. The reversal of 311404413320 is 23314404113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311404413317) and next prime (311404413323).

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 311404413320.

It is not an unprimeable number, because it can be changed into a prime (311404413323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32868104 + ... + 32877576.

It is an arithmetic number, because the mean of its divisors is an integer number (3679654230).

Almost surely, 2^311404413320 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 311404413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470995741440).

311404413320 is an abundant number, since it is smaller than the sum of its proper divisors (630587069560).

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

311404413320 is a wasteful number, since it uses less digits than its factorization.

311404413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 311404413320 its reverse (23314404113), we get a palindrome (334718817433).

The spelling of 311404413320 in words is "three hundred eleven billion, four hundred four million, four hundred thirteen thousand, three hundred twenty".