11441141240256 has 168 divisors, whose sum is σ = 40361804004704. Its totient is φ = 3017443829760.

The previous prime is 11441141240237. The next prime is 11441141240261. The reversal of 11441141240256 is 65204214114411.

11441141240256 is a `hidden beast` number, since 1 + 1 + 441 + 141 + 24 + 0 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11441141240256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109085455 + ... + 109190286.

Almost surely, 2^{11441141240256} is an apocalyptic number.

11441141240256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11441141240256 is an abundant number, since it is smaller than the sum of its proper divisors (28920662764448).

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

11441141240256 is a wasteful number, since it uses less digits than its factorization.

11441141240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218275779 (or 218275766 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 11441141240256 its reverse (65204214114411), we get a palindrome (76645355354667).

The spelling of 11441141240256 in words is "eleven trillion, four hundred forty-one billion, one hundred forty-one million, two hundred forty thousand, two hundred fifty-six".