4305413201360 has 160 divisors (see below), whose sum is σ = 11066382777600. Its totient is φ = 1549457547264.

The previous prime is 4305413201293. The next prime is 4305413201363. The reversal of 4305413201360 is 631023145034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4305413201363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53104214 + ... + 53185226.

It is an arithmetic number, because the mean of its divisors is an integer number (69164892360).

Almost surely, 2^{4305413201360} is an apocalyptic number.

4305413201360 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 4305413201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533191388800).

4305413201360 is an abundant number, since it is smaller than the sum of its proper divisors (6760969576240).

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

4305413201360 is a wasteful number, since it uses less digits than its factorization.

4305413201360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82765 (or 82759 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 4305413201360 its reverse (631023145034), we get a palindrome (4936436346394).

The spelling of 4305413201360 in words is "four trillion, three hundred five billion, four hundred thirteen million, two hundred one thousand, three hundred sixty".