312443440444320 has 192 divisors, whose sum is σ = 986208964272000. Its totient is φ = 83147938205696.

The previous prime is 312443440444277. The next prime is 312443440444321. The reversal of 312443440444320 is 23444044344213.

It is not an unprimeable number, because it can be changed into a prime (312443440444321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3583886491 + ... + 3583973669.

It is an arithmetic number, because the mean of its divisors is an integer number (5136505022250).

Almost surely, 2^{312443440444320} is an apocalyptic number.

312443440444320 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 312443440444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493104482136000).

312443440444320 is an abundant number, since it is smaller than the sum of its proper divisors (673765523827680).

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

312443440444320 is a wasteful number, since it uses less digits than its factorization.

312443440444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102375 (or 102367 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 42.

Adding to 312443440444320 its reverse (23444044344213), we get a palindrome (335887484788533).

The spelling of 312443440444320 in words is "three hundred twelve trillion, four hundred forty-three billion, four hundred forty million, four hundred forty-four thousand, three hundred twenty".