11011241110240 has 192 divisors, whose sum is σ = 29843636215680. Its totient is φ = 3760907673600.

The previous prime is 11011241110217. The next prime is 11011241110271. The reversal of 11011241110240 is 4201114211011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112129290 + ... + 1112139190.

It is an arithmetic number, because the mean of its divisors is an integer number (155435605290).

Almost surely, 2^{11011241110240} is an apocalyptic number.

11011241110240 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 11011241110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14921818107840).

11011241110240 is an abundant number, since it is smaller than the sum of its proper divisors (18832395105440).

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

11011241110240 is a wasteful number, since it uses less digits than its factorization.

11011241110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13605 (or 13597 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 11011241110240 its reverse (4201114211011), we get a palindrome (15212355321251).

The spelling of 11011241110240 in words is "eleven trillion, eleven billion, two hundred forty-one million, one hundred ten thousand, two hundred forty".