314222403214240 has 192 divisors, whose sum is σ = 752858310758400. Its totient is φ = 123918184259584.

The previous prime is 314222403214229. The next prime is 314222403214241. The reversal of 314222403214240 is 42412304222413.

It is a junction number, because it is equal to n+sod(n) for n = 314222403214196 and 314222403214205.

It is not an unprimeable number, because it can be changed into a prime (314222403214241) 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, 30918267399 + ... + 30918277561.

It is an arithmetic number, because the mean of its divisors is an integer number (3921137035200).

Almost surely, 2^{314222403214240} 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 314222403214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376429155379200).

314222403214240 is an abundant number, since it is smaller than the sum of its proper divisors (438635907544160).

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

314222403214240 is a wasteful number, since it uses less digits than its factorization.

314222403214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16319 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 314222403214240 its reverse (42412304222413), we get a palindrome (356634707436653).

The spelling of 314222403214240 in words is "three hundred fourteen trillion, two hundred twenty-two billion, four hundred three million, two hundred fourteen thousand, two hundred forty".