312414144401320 has 512 divisors, whose sum is σ = 835496929612800. Its totient is φ = 104232451276800.

The previous prime is 312414144401201. The next prime is 312414144401323. The reversal of 312414144401320 is 23104441414213.

It is not an unprimeable number, because it can be changed into a prime (312414144401323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1624125387 + ... + 1624317733.

It is an arithmetic number, because the mean of its divisors is an integer number (1631829940650).

Almost surely, 2^{312414144401320} 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 312414144401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417748464806400).

312414144401320 is an abundant number, since it is smaller than the sum of its proper divisors (523082785211480).

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

312414144401320 is a wasteful number, since it uses less digits than its factorization.

312414144401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192549 (or 192545 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 312414144401320 its reverse (23104441414213), we get a palindrome (335518585815533).

The spelling of 312414144401320 in words is "three hundred twelve trillion, four hundred fourteen billion, one hundred forty-four million, four hundred one thousand, three hundred twenty".