311340340242432 has 288 divisors, whose sum is σ = 924565793697000. Its totient is φ = 100859914616832.

The previous prime is 311340340242397. The next prime is 311340340242461. The reversal of 311340340242432 is 234242043043113.

311340340242432 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 4 + 0 + 3 + 402 + 4 + 243 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 303933756220416 + 7406584022016 = 17433696^2 + 2721504^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597839694 + ... + 598360242.

Almost surely, 2^{311340340242432} is an apocalyptic number.

311340340242432 is a gapful number since it is divisible by the number (32) 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 311340340242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462282896848500).

311340340242432 is an abundant number, since it is smaller than the sum of its proper divisors (613225453454568).

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

311340340242432 is a wasteful number, since it uses less digits than its factorization.

311340340242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521491 (or 521468 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 311340340242432 its reverse (234242043043113), we get a palindrome (545582383285545).

The spelling of 311340340242432 in words is "three hundred eleven trillion, three hundred forty billion, three hundred forty million, two hundred forty-two thousand, four hundred thirty-two".