311430041031340 has 768 divisors, whose sum is σ = 863770521600000. Its totient is φ = 91451334205440.

The previous prime is 311430041031289. The next prime is 311430041031349. The reversal of 311430041031340 is 43130140034113.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 311430041031299 and 311430041031308.

It is not an unprimeable number, because it can be changed into a prime (311430041031349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 547328718576 + ... + 547328719144.

It is an arithmetic number, because the mean of its divisors is an integer number (1124701200000).

Almost surely, 2^{311430041031340} 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 311430041031340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431885260800000).

311430041031340 is an abundant number, since it is smaller than the sum of its proper divisors (552340480568660).

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

311430041031340 is a wasteful number, since it uses less digits than its factorization.

311430041031340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 311430041031340 its reverse (43130140034113), we get a palindrome (354560181065453).

The spelling of 311430041031340 in words is "three hundred eleven trillion, four hundred thirty billion, forty-one million, thirty-one thousand, three hundred forty".