312310100440320 has 144 divisors (see below), whose sum is σ = 997525178600832. Its totient is φ = 83275613347840.

The previous prime is 312310100440301. The next prime is 312310100440367. The reversal of 312310100440320 is 23044001013213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41795530 + ... + 48697910.

It is an arithmetic number, because the mean of its divisors is an integer number (6927258184728).

Almost surely, 2^{312310100440320} is an apocalyptic number.

312310100440320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312310100440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498762589300416).

312310100440320 is an abundant number, since it is smaller than the sum of its proper divisors (685215078160512).

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

312310100440320 is a wasteful number, since it uses less digits than its factorization.

312310100440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914188 (or 6914174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312310100440320 its reverse (23044001013213), we get a palindrome (335354101453533).

The spelling of 312310100440320 in words is "three hundred twelve trillion, three hundred ten billion, one hundred million, four hundred forty thousand, three hundred twenty".