314221662720 has 640 divisors, whose sum is σ = 1290099571200. Its totient is φ = 71005372416.

The previous prime is 314221662659. The next prime is 314221662743. The reversal of 314221662720 is 27266122413.

314221662720 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 2 + 1 + 6 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43058112 + ... + 43065408.

It is an arithmetic number, because the mean of its divisors is an integer number (2015780580).

Almost surely, 2^314221662720 is an apocalyptic number.

314221662720 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 314221662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645049785600).

314221662720 is an abundant number, since it is smaller than the sum of its proper divisors (975877908480).

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

314221662720 is an equidigital number, since it uses as much as digits as its factorization.

314221662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7425 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 314221662720 in words is "three hundred fourteen billion, two hundred twenty-one million, six hundred sixty-two thousand, seven hundred twenty".