312343300401440 has 768 divisors, whose sum is σ = 981483370721280. Its totient is φ = 90993443143680.

The previous prime is 312343300401413. The next prime is 312343300401443. The reversal of 312343300401440 is 44104003343213.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 312343300401397 and 312343300401406.

It is not an unprimeable number, because it can be changed into a prime (312343300401443) 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 127 ways as a sum of consecutive naturals, for example, 5227210604 + ... + 5227270356.

It is an arithmetic number, because the mean of its divisors is an integer number (1277973138960).

Almost surely, 2^{312343300401440} 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 312343300401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490741685360640).

312343300401440 is an abundant number, since it is smaller than the sum of its proper divisors (669140070319840).

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

312343300401440 is a wasteful number, since it uses less digits than its factorization.

312343300401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60105 (or 60097 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 312343300401440 its reverse (44104003343213), we get a palindrome (356447303744653).

The spelling of 312343300401440 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred million, four hundred one thousand, four hundred forty".