314222140320 has 192 divisors, whose sum is σ = 1080218353536. Its totient is φ = 76144250880.

The previous prime is 314222140303. The next prime is 314222140343. The reversal of 314222140320 is 23041222413.

It is a happy number.

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

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, 14757522 + ... + 14778798.

It is an arithmetic number, because the mean of its divisors is an integer number (5626137258).

Almost surely, 2^314222140320 is an apocalyptic number.

314222140320 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 314222140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540109176768).

314222140320 is an abundant number, since it is smaller than the sum of its proper divisors (765996213216).

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

314222140320 is a wasteful number, since it uses less digits than its factorization.

314222140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24103 (or 24095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 314222140320 its reverse (23041222413), we get a palindrome (337263362733).

The spelling of 314222140320 in words is "three hundred fourteen billion, two hundred twenty-two million, one hundred forty thousand, three hundred twenty".