4260556550624 has 96 divisors (see below), whose sum is σ = 9248283983232. Its totient is φ = 1915954240000.

The previous prime is 4260556550617. The next prime is 4260556550659.

4260556550624 is nontrivially palindromic in base 10.

It is a congruent number.

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, 46420619 + ... + 46512309.

It is an arithmetic number, because the mean of its divisors is an integer number (96336291492).

Almost surely, 2^{4260556550624} is an apocalyptic number.

4260556550624 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 4260556550624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624141991616).

4260556550624 is an abundant number, since it is smaller than the sum of its proper divisors (4987727432608).

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

4260556550624 is a wasteful number, since it uses less digits than its factorization.

4260556550624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93120 (or 93112 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 50.

The spelling of 4260556550624 in words is "four trillion, two hundred sixty billion, five hundred fifty-six million, five hundred fifty thousand, six hundred twenty-four".