313435422720 has 1020 divisors, whose sum is σ = 1312603189524. Its totient is φ = 71345111040.

The previous prime is 313435422673. The next prime is 313435422721. The reversal of 313435422720 is 27224534313.

313435422720 is a `hidden beast` number, since 3 + 1 + 3 + 43 + 542 + 2 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175835971584 + 137599451136 = 419328^2 + 370944^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313435422721) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1300561800 + ... + 1300562040.

Almost surely, 2^313435422720 is an apocalyptic number.

313435422720 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 313435422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656301594762).

313435422720 is an abundant number, since it is smaller than the sum of its proper divisors (999167766804).

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

313435422720 is an frugal number, since it uses more digits than its factorization.

313435422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 313435422720 in words is "three hundred thirteen billion, four hundred thirty-five million, four hundred twenty-two thousand, seven hundred twenty".