11544041440 has 192 divisors, whose sum is σ = 29009534400. Its totient is φ = 4335206400.

The previous prime is 11544041417. The next prime is 11544041473. The reversal of 11544041440 is 4414044511.

It is a super-3 number, since 3×11544041440³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11544041399 and 11544041408.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25710336 + ... + 25710784.

It is an arithmetic number, because the mean of its divisors is an integer number (151091325).

Almost surely, 2^11544041440 is an apocalyptic number.

11544041440 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 11544041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504767200).

11544041440 is an abundant number, since it is smaller than the sum of its proper divisors (17465492960).

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

11544041440 is a wasteful number, since it uses less digits than its factorization.

11544041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 11544041440 its reverse (4414044511), we get a palindrome (15958085951).

The spelling of 11544041440 in words is "eleven billion, five hundred forty-four million, forty-one thousand, four hundred forty".