312211240310440 has 32 divisors (see below), whose sum is σ = 709717304013480. Its totient is φ = 123597027090432.

The previous prime is 312211240310399. The next prime is 312211240310441. The reversal of 312211240310440 is 44013042112213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 211839816059524 + 100371424250916 = 14554718^2 + 10018554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312211240310399 and 312211240310408.

It is not an unprimeable number, because it can be changed into a prime (312211240310441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40233403377 + ... + 40233411136.

Almost surely, 2^{312211240310440} is an apocalyptic number.

It is an amenable number.

312211240310440 is an abundant number, since it is smaller than the sum of its proper divisors (397506063703040).

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

312211240310440 is a wasteful number, since it uses less digits than its factorization.

312211240310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80466814621 (or 80466814617 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 312211240310440 its reverse (44013042112213), we get a palindrome (356224282422653).

The spelling of 312211240310440 in words is "three hundred twelve trillion, two hundred eleven billion, two hundred forty million, three hundred ten thousand, four hundred forty".