312441433304 has 128 divisors (see below), whose sum is σ = 787940697600. Its totient is φ = 112170147840.

The previous prime is 312441433301. The next prime is 312441433307. The reversal of 312441433304 is 403334144213.

It is an interprime number because it is at equal distance from previous prime (312441433301) and next prime (312441433307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312441433301) 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 31 ways as a sum of consecutive naturals, for example, 4586807 + ... + 4654425.

It is an arithmetic number, because the mean of its divisors is an integer number (6155786700).

Almost surely, 2^312441433304 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 312441433304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393970348800).

312441433304 is an abundant number, since it is smaller than the sum of its proper divisors (475499264296).

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

312441433304 is a wasteful number, since it uses less digits than its factorization.

312441433304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68233 (or 68229 counting only the distinct ones).

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

Adding to 312441433304 its reverse (403334144213), we get a palindrome (715775577517).

The spelling of 312441433304 in words is "three hundred twelve billion, four hundred forty-one million, four hundred thirty-three thousand, three hundred four".