11340240000 has 160 divisors (see below), whose sum is σ = 37641888240. Its totient is φ = 3024000000.

The previous prime is 11340239993. The next prime is 11340240007. The reversal of 11340240000 is 4204311.

It is an interprime number because it is at equal distance from previous prime (11340239993) and next prime (11340240007).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11340240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 216375 + ... + 263625.

Almost surely, 2^11340240000 is an apocalyptic number.

11340240000 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 11340240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18820944120).

11340240000 is an abundant number, since it is smaller than the sum of its proper divisors (26301648240).

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

11340240000 is an frugal number, since it uses more digits than its factorization.

11340240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47288 (or 47261 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11340240000 its reverse (4204311), we get a palindrome (11344444311).

The spelling of 11340240000 in words is "eleven billion, three hundred forty million, two hundred forty thousand".