11133404211040 has 48 divisors (see below), whose sum is σ = 26302908017232. Its totient is φ = 4453320953344.

The previous prime is 11133404211029. The next prime is 11133404211089. The reversal of 11133404211040 is 4011240433111.

It is a junction number, because it is equal to n+sod(n) for n = 11133404210996 and 11133404211014.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22189827 + ... + 22686013.

It is an arithmetic number, because the mean of its divisors is an integer number (547977250359).

Almost surely, 2^{11133404211040} is an apocalyptic number.

11133404211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133404211040 is an abundant number, since it is smaller than the sum of its proper divisors (15169503806192).

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

11133404211040 is a wasteful number, since it uses less digits than its factorization.

11133404211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636439 (or 636431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11133404211040 its reverse (4011240433111), we get a palindrome (15144644644151).

The spelling of 11133404211040 in words is "eleven trillion, one hundred thirty-three billion, four hundred four million, two hundred eleven thousand, forty".