11440133104411 has 32 divisors (see below), whose sum is σ = 12553961333760. Its totient is φ = 10338834364800.

The previous prime is 11440133104381. The next prime is 11440133104501.

11440133104411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11440133104411 - 2²¹ = 11440131007259 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11440133104411.

It is not an unprimeable number, because it can be changed into a prime (11440133144411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2488606165 + ... + 2488610761.

It is an arithmetic number, because the mean of its divisors is an integer number (392311291680).

Almost surely, 2^{11440133104411} is an apocalyptic number.

11440133104411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11440133104411 is a deficient number, since it is larger than the sum of its proper divisors (1113828229349).

11440133104411 is a wasteful number, since it uses less digits than its factorization.

11440133104411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795.

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 1144013 and 3104411, that added together give a palindrome (4248424).

The spelling of 11440133104411 in words is "eleven trillion, four hundred forty billion, one hundred thirty-three million, one hundred four thousand, four hundred eleven".