311441100110340 has 192 divisors, whose sum is σ = 890969695580160. Its totient is φ = 81266596669440.

The previous prime is 311441100110311. The next prime is 311441100110471. The reversal of 311441100110340 is 43011001144113.

It is a self number, because there is not a number n which added to its sum of digits gives 311441100110340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8262990895 + ... + 8263028585.

It is an arithmetic number, because the mean of its divisors is an integer number (4640467164480).

Almost surely, 2^{311441100110340} is an apocalyptic number.

311441100110340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311441100110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445484847790080).

311441100110340 is an abundant number, since it is smaller than the sum of its proper divisors (579528595469820).

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

311441100110340 is a wasteful number, since it uses less digits than its factorization.

311441100110340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53322 (or 53320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 311441100110340 its reverse (43011001144113), we get a palindrome (354452101254453).

The spelling of 311441100110340 in words is "three hundred eleven trillion, four hundred forty-one billion, one hundred million, one hundred ten thousand, three hundred forty".