11241100240 has 80 divisors (see below), whose sum is σ = 27088958160. Its totient is φ = 4334653440.

The previous prime is 11241100237. The next prime is 11241100249. The reversal of 11241100240 is 4200114211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39841344 + 11201258896 = 6312^2 + 105836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241100249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305220 + ... + 340060.

It is an arithmetic number, because the mean of its divisors is an integer number (338611977).

Almost surely, 2^11241100240 is an apocalyptic number.

11241100240 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 11241100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544479080).

11241100240 is an abundant number, since it is smaller than the sum of its proper divisors (15847857920).

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

11241100240 is a wasteful number, since it uses less digits than its factorization.

11241100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35000 (or 34994 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11241100240 its reverse (4200114211), we get a palindrome (15441214451).

The spelling of 11241100240 in words is "eleven billion, two hundred forty-one million, one hundred thousand, two hundred forty".