312434340040000 has 70 divisors (see below), whose sum is σ = 774735622237874. Its totient is φ = 124973736000000.

The previous prime is 312434340039971. The next prime is 312434340040003. The reversal of 312434340040000 is 40043434213.

It can be written as a sum of positive squares in 5 ways, for example, as 89307943282944 + 223126396757056 = 9450288^2 + 14937416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312434340040003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 3905389251 + ... + 3905469250.

Almost surely, 2^{312434340040000} is an apocalyptic number.

It is an amenable number.

312434340040000 is an abundant number, since it is smaller than the sum of its proper divisors (462301282197874).

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

312434340040000 is an frugal number, since it uses more digits than its factorization.

312434340040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810858533 (or 7810858508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 312434340040000 its reverse (40043434213), we get a palindrome (312474383474213).

The spelling of 312434340040000 in words is "three hundred twelve trillion, four hundred thirty-four billion, three hundred forty million, forty thousand".