11241053440 has 72 divisors (see below), whose sum is σ = 26964820008. Its totient is φ = 4489912320.

The previous prime is 11241053413. The next prime is 11241053441. The reversal of 11241053440 is 4435014211.

It can be written as a sum of positive squares in 4 ways, for example, as 7349289984 + 3891763456 = 85728^2 + 62384^2 .

It is a super-2 number, since 2×11241053440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241053441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 932250 + ... + 944230.

It is an arithmetic number, because the mean of its divisors is an integer number (374511389).

Almost surely, 2^11241053440 is an apocalyptic number.

11241053440 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 11241053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482410004).

11241053440 is an abundant number, since it is smaller than the sum of its proper divisors (15723766568).

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

11241053440 is an equidigital number, since it uses as much as digits as its factorization.

11241053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11241053440 its reverse (4435014211), we get a palindrome (15676067651).

The spelling of 11241053440 in words is "eleven billion, two hundred forty-one million, fifty-three thousand, four hundred forty".