9440513888256 has 2184 divisors, whose sum is σ = 34721321687640. Its totient is φ = 2550587719680.

The previous prime is 9440513888219. The next prime is 9440513888257. The reversal of 9440513888256 is 6528883150449.

9440513888256 is a `hidden beast` number, since 9 + 440 + 5 + 138 + 8 + 8 + 2 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3613040640000 + 5827473248256 = 1900800^2 + 2414016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9440513888193 and 9440513888202.

It is not an unprimeable number, because it can be changed into a prime (9440513888257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 178122903526 + ... + 178122903578.

Almost surely, 2^{9440513888256} is an apocalyptic number.

9440513888256 is a gapful number since it is divisible by the number (96) 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 9440513888256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360660843820).

9440513888256 is an abundant number, since it is smaller than the sum of its proper divisors (25280807799384).

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

9440513888256 is a wasteful number, since it uses less digits than its factorization.

9440513888256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 9440513888256 in words is "nine trillion, four hundred forty billion, five hundred thirteen million, eight hundred eighty-eight thousand, two hundred fifty-six".