4260312130624 has 112 divisors (see below), whose sum is σ = 9334196004672. Its totient is φ = 1913158400000.

The previous prime is 4260312130597. The next prime is 4260312130637.

4260312130624 is nontrivially palindromic in base 10.

4260312130624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4260312130624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32713959 + ... + 32843929.

It is an arithmetic number, because the mean of its divisors is an integer number (83341035756).

Almost surely, 2^{4260312130624} is an apocalyptic number.

4260312130624 is a gapful number since it is divisible by the number (44) 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 4260312130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667098002336).

4260312130624 is an abundant number, since it is smaller than the sum of its proper divisors (5073883874048).

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

4260312130624 is a wasteful number, since it uses less digits than its factorization.

4260312130624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130556 (or 130546 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 4260312130624 in words is "four trillion, two hundred sixty billion, three hundred twelve million, one hundred thirty thousand, six hundred twenty-four".