314021312024320 has 144 divisors (see below), whose sum is σ = 776565591072768. Its totient is φ = 121537447464960.

The previous prime is 314021312024257. The next prime is 314021312024327. The reversal of 314021312024320 is 23420213120413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314021312024327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252021087 + ... + 253264033.

It is an arithmetic number, because the mean of its divisors is an integer number (5392816604672).

Almost surely, 2^{314021312024320} 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 314021312024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388282795536384).

314021312024320 is an abundant number, since it is smaller than the sum of its proper divisors (462544279048448).

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

314021312024320 is a wasteful number, since it uses less digits than its factorization.

314021312024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249366 (or 1249352 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 314021312024320 its reverse (23420213120413), we get a palindrome (337441525144733).

The spelling of 314021312024320 in words is "three hundred fourteen trillion, twenty-one billion, three hundred twelve million, twenty-four thousand, three hundred twenty".