11040116256 has 144 divisors (see below), whose sum is σ = 34976574360. Its totient is φ = 3279790080.

The previous prime is 11040116249. The next prime is 11040116257. The reversal of 11040116256 is 65261104011.

11040116256 is a `hidden beast` number, since 1 + 1 + 0 + 401 + 1 + 6 + 256 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6941555856 + 4098560400 = 83316^2 + 64020^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11040116257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57736 + ... + 159416.

Almost surely, 2^11040116256 is an apocalyptic number.

11040116256 is a gapful number since it is divisible by the number (16) 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 11040116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17488287180).

11040116256 is an abundant number, since it is smaller than the sum of its proper divisors (23936458104).

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

11040116256 is a wasteful number, since it uses less digits than its factorization.

11040116256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101739 (or 101728 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11040116256 in words is "eleven billion, forty million, one hundred sixteen thousand, two hundred fifty-six".