11524004240 has 160 divisors (see below), whose sum is σ = 31347993600. Its totient is φ = 3938188800.

The previous prime is 11524004197. The next prime is 11524004243. The reversal of 11524004240 is 4240042511.

It is not an unprimeable number, because it can be changed into a prime (11524004243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12649385 + ... + 12650295.

It is an arithmetic number, because the mean of its divisors is an integer number (195924960).

Almost surely, 2^11524004240 is an apocalyptic number.

11524004240 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 11524004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673996800).

11524004240 is an abundant number, since it is smaller than the sum of its proper divisors (19823989360).

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

11524004240 is an equidigital number, since it uses as much as digits as its factorization.

11524004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 11524004240 its reverse (4240042511), we get a palindrome (15764046751).

The spelling of 11524004240 in words is "eleven billion, five hundred twenty-four million, four thousand, two hundred forty".