4263656517120 has 1920 divisors, whose sum is σ = 18631575502848. Its totient is φ = 809321103360.

The previous prime is 4263656517059. The next prime is 4263656517161. The reversal of 4263656517120 is 217156563624.

4263656517120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4263656517120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10739688762 + ... + 10739689158.

Almost surely, 2^{4263656517120} is an apocalyptic number.

4263656517120 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 4263656517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9315787751424).

4263656517120 is an abundant number, since it is smaller than the sum of its proper divisors (14367918985728).

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

4263656517120 is a wasteful number, since it uses less digits than its factorization.

4263656517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 4263656517120 in words is "four trillion, two hundred sixty-three billion, six hundred fifty-six million, five hundred seventeen thousand, one hundred twenty".