312410442344 has 256 divisors, whose sum is σ = 803298746880. Its totient is φ = 109964574720.

The previous prime is 312410442343. The next prime is 312410442371. The reversal of 312410442344 is 443244014213.

It is a self number, because there is not a number n which added to its sum of digits gives 312410442344.

It is not an unprimeable number, because it can be changed into a prime (312410442343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 261869012 + ... + 261870204.

It is an arithmetic number, because the mean of its divisors is an integer number (3137885730).

Almost surely, 2^312410442344 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 312410442344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401649373440).

312410442344 is an abundant number, since it is smaller than the sum of its proper divisors (490888304536).

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

312410442344 is a wasteful number, since it uses less digits than its factorization.

312410442344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 312410442344 its reverse (443244014213), we get a palindrome (755654456557).

The spelling of 312410442344 in words is "three hundred twelve billion, four hundred ten million, four hundred forty-two thousand, three hundred forty-four".