314299422720 has 1152 divisors, whose sum is σ = 1222194355200. Its totient is φ = 76552667136.

The previous prime is 314299422709. The next prime is 314299422721. The reversal of 314299422720 is 27224992413.

314299422720 is a `hidden beast` number, since 31 + 42 + 99 + 422 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314299422721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4691036127 + ... + 4691036193.

It is an arithmetic number, because the mean of its divisors is an integer number (1060932600).

Almost surely, 2^314299422720 is an apocalyptic number.

314299422720 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 314299422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611097177600).

314299422720 is an abundant number, since it is smaller than the sum of its proper divisors (907894932480).

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

314299422720 is a wasteful number, since it uses less digits than its factorization.

314299422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 314299422720 in words is "three hundred fourteen billion, two hundred ninety-nine million, four hundred twenty-two thousand, seven hundred twenty".