312403340432320 has 224 divisors, whose sum is σ = 801932042096640. Its totient is φ = 115580502343680.

The previous prime is 312403340432317. The next prime is 312403340432387. The reversal of 312403340432320 is 23234043304213.

It is a super-2 number, since 2×312403340432320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286709664 + ... + 287797216.

It is an arithmetic number, because the mean of its divisors is an integer number (3580053759360).

Almost surely, 2^{312403340432320} 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 312403340432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400966021048320).

312403340432320 is an abundant number, since it is smaller than the sum of its proper divisors (489528701664320).

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

312403340432320 is a wasteful number, since it uses less digits than its factorization.

312403340432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088883 (or 1088873 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 312403340432320 its reverse (23234043304213), we get a palindrome (335637383736533).

The spelling of 312403340432320 in words is "three hundred twelve trillion, four hundred three billion, three hundred forty million, four hundred thirty-two thousand, three hundred twenty".