11544115440 has 320 divisors, whose sum is σ = 43184236032. Its totient is φ = 2513203200.

The previous prime is 11544115433. The next prime is 11544115459. The reversal of 11544115440 is 4451144511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11544115398 and 11544115407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1265295 + ... + 1274385.

Almost surely, 2^11544115440 is an apocalyptic number.

11544115440 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 11544115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21592118016).

11544115440 is an abundant number, since it is smaller than the sum of its proper divisors (31640120592).

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

11544115440 is a wasteful number, since it uses less digits than its factorization.

11544115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 11544115440 its reverse (4451144511), we get a palindrome (15995259951).

The spelling of 11544115440 in words is "eleven billion, five hundred forty-four million, one hundred fifteen thousand, four hundred forty".