11331104211240 has 512 divisors, whose sum is σ = 38108874608640. Its totient is φ = 2671958016000.

The previous prime is 11331104211239. The next prime is 11331104211241. The reversal of 11331104211240 is 4211240113311.

It is an interprime number because it is at equal distance from previous prime (11331104211239) and next prime (11331104211241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11331104211240.

It is not an unprimeable number, because it can be changed into a prime (11331104211241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8736394272 + ... + 8736395568.

It is an arithmetic number, because the mean of its divisors is an integer number (74431395720).

Almost surely, 2^{11331104211240} is an apocalyptic number.

11331104211240 is a gapful number since it is divisible by the number (10) 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 11331104211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19054437304320).

11331104211240 is an abundant number, since it is smaller than the sum of its proper divisors (26777770397400).

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

11331104211240 is a wasteful number, since it uses less digits than its factorization.

11331104211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11331104211240 its reverse (4211240113311), we get a palindrome (15542344324551).

The spelling of 11331104211240 in words is "eleven trillion, three hundred thirty-one billion, one hundred four million, two hundred eleven thousand, two hundred forty".