11340241440 has 384 divisors, whose sum is σ = 40781905920. Its totient is φ = 2623795200.

The previous prime is 11340241433. The next prime is 11340241441. The reversal of 11340241440 is 4414204311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11340241440.

It is not an unprimeable number, because it can be changed into a prime (11340241441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12930282 + ... + 12931158.

It is an arithmetic number, because the mean of its divisors is an integer number (106202880).

Almost surely, 2^11340241440 is an apocalyptic number.

11340241440 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 11340241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20390952960).

11340241440 is an abundant number, since it is smaller than the sum of its proper divisors (29441664480).

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

11340241440 is a wasteful number, since it uses less digits than its factorization.

11340241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11340241440 its reverse (4414204311), we get a palindrome (15754445751).

The spelling of 11340241440 in words is "eleven billion, three hundred forty million, two hundred forty-one thousand, four hundred forty".