11544413040 has 240 divisors, whose sum is σ = 41453650368. Its totient is φ = 2868977664.

The previous prime is 11544413033. The next prime is 11544413047. The reversal of 11544413040 is 4031444511.

11544413040 is a `hidden beast` number, since 1 + 154 + 441 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11544413033) and next prime (11544413047).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 11544412995 and 11544413013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11544413047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256142 + ... + 1265298.

Almost surely, 2^11544413040 is an apocalyptic number.

11544413040 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 11544413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726825184).

11544413040 is an abundant number, since it is smaller than the sum of its proper divisors (29909237328).

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

11544413040 is a wasteful number, since it uses less digits than its factorization.

11544413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9296 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11544413040 its reverse (4031444511), we get a palindrome (15575857551).

It can be divided in two parts, 1154441 and 3040, that added together give a triangular number (1157481 = T₁₅₂₁).

The spelling of 11544413040 in words is "eleven billion, five hundred forty-four million, four hundred thirteen thousand, forty".