311440400130304 has 144 divisors (see below), whose sum is σ = 627264054781056. Its totient is φ = 154321606656000.

The previous prime is 311440400130263. The next prime is 311440400130401. The reversal of 311440400130304 is 403031004044113.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96690591414 + ... + 96690594634.

It is an arithmetic number, because the mean of its divisors is an integer number (4356000380424).

Almost surely, 2^{311440400130304} 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 311440400130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313632027390528).

311440400130304 is an abundant number, since it is smaller than the sum of its proper divisors (315823654650752).

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

311440400130304 is a wasteful number, since it uses less digits than its factorization.

311440400130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 311440400130304 its reverse (403031004044113), we get a palindrome (714471404174417).

The spelling of 311440400130304 in words is "three hundred eleven trillion, four hundred forty billion, four hundred million, one hundred thirty thousand, three hundred four".