1133440411311 has 64 divisors (see below), whose sum is σ = 1839975782400. Its totient is φ = 685311366528.

The previous prime is 1133440411297. The next prime is 1133440411331. The reversal of 1133440411311 is 1131140443311.

1133440411311 is a `hidden beast` number, since 1 + 1 + 3 + 344 + 0 + 4 + 1 + 1 + 311 = 666.

It is not a de Polignac number, because 1133440411311 - 2¹¹ = 1133440409263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133440411331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41342170 + ... + 41369576.

It is an arithmetic number, because the mean of its divisors is an integer number (28749621600).

Almost surely, 2^{1133440411311} is an apocalyptic number.

1133440411311 is a deficient number, since it is larger than the sum of its proper divisors (706535371089).

1133440411311 is a wasteful number, since it uses less digits than its factorization.

1133440411311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29485 (or 29479 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1133440411311 its reverse (1131140443311), we get a palindrome (2264580854622).

Subtracting from 1133440411311 its reverse (1131140443311), we obtain a cube (2299968000 = 1320³).

The spelling of 1133440411311 in words is "one trillion, one hundred thirty-three billion, four hundred forty million, four hundred eleven thousand, three hundred eleven".