11441330102004 has 144 divisors (see below), whose sum is σ = 30705731126784. Its totient is φ = 3309715918080.

The previous prime is 11441330101963. The next prime is 11441330102009. The reversal of 11441330102004 is 40020103314411.

It is a super-2 number, since 2×11441330102004² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441330102009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838269 + ... + 4856475.

It is an arithmetic number, because the mean of its divisors is an integer number (213234243936).

Almost surely, 2^{11441330102004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11441330102004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352865563392).

11441330102004 is an abundant number, since it is smaller than the sum of its proper divisors (19264401024780).

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

11441330102004 is a wasteful number, since it uses less digits than its factorization.

11441330102004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018326 (or 4018313 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11441330102004 its reverse (40020103314411), we get a palindrome (51461433416415).

The spelling of 11441330102004 in words is "eleven trillion, four hundred forty-one billion, three hundred thirty million, one hundred two thousand, four".