11004124411104 has 48 divisors (see below), whose sum is σ = 31511810816640. Its totient is φ = 3334583154560.

The previous prime is 11004124411103. The next prime is 11004124411139. The reversal of 11004124411104 is 40111442140011.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004124411103) 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 7 ways as a sum of consecutive naturals, for example, 5210285124 + ... + 5210287235.

It is an arithmetic number, because the mean of its divisors is an integer number (656496058680).

Almost surely, 2^{11004124411104} is an apocalyptic number.

It is an amenable number.

11004124411104 is an abundant number, since it is smaller than the sum of its proper divisors (20507686405536).

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

11004124411104 is a wasteful number, since it uses less digits than its factorization.

11004124411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420572383 (or 10420572375 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 11004124411104 its reverse (40111442140011), we get a palindrome (51115566551115).

The spelling of 11004124411104 in words is "eleven trillion, four billion, one hundred twenty-four million, four hundred eleven thousand, one hundred four".