4313025346560 has 1056 divisors, whose sum is σ = 16523200588800. Its totient is φ = 959814696960.

The previous prime is 4313025346549. The next prime is 4313025346561. The reversal of 4313025346560 is 656435203134.

4313025346560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4313025346561) 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, 8856314637 + ... + 8856315123.

Almost surely, 2^{4313025346560} is an apocalyptic number.

4313025346560 is a gapful number since it is divisible by the number (40) 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 4313025346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261600294400).

4313025346560 is an abundant number, since it is smaller than the sum of its proper divisors (12210175242240).

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

4313025346560 is an equidigital number, since it uses as much as digits as its factorization.

4313025346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 4313025346560 in words is "four trillion, three hundred thirteen billion, twenty-five million, three hundred forty-six thousand, five hundred sixty".