11340354240 has 448 divisors, whose sum is σ = 42135552000. Its totient is φ = 2865696768.

The previous prime is 11340354227. The next prime is 11340354283. The reversal of 11340354240 is 4245304311.

It is a happy number.

11340354240 is a `hidden beast` number, since 1 + 13 + 403 + 5 + 4 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29609089 + ... + 29609471.

Almost surely, 2^11340354240 is an apocalyptic number.

11340354240 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 11340354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776000).

11340354240 is an abundant number, since it is smaller than the sum of its proper divisors (30795197760).

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

11340354240 is a wasteful number, since it uses less digits than its factorization.

11340354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 11340354240 its reverse (4245304311), we get a palindrome (15585658551).

The spelling of 11340354240 in words is "eleven billion, three hundred forty million, three hundred fifty-four thousand, two hundred forty".