11040214342240 has 96 divisors (see below), whose sum is σ = 26377488648000. Its totient is φ = 4366148886528.

The previous prime is 11040214342219. The next prime is 11040214342253. The reversal of 11040214342240 is 4224341204011.

It is a junction number, because it is equal to n+sod(n) for n = 11040214342199 and 11040214342208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336175741 + ... + 336208579.

It is an arithmetic number, because the mean of its divisors is an integer number (274765506750).

Almost surely, 2^{11040214342240} is an apocalyptic number.

11040214342240 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 11040214342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13188744324000).

11040214342240 is an abundant number, since it is smaller than the sum of its proper divisors (15337274305760).

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

11040214342240 is a wasteful number, since it uses less digits than its factorization.

11040214342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56552 (or 56544 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 11040214342240 its reverse (4224341204011), we get a palindrome (15264555546251).

The spelling of 11040214342240 in words is "eleven trillion, forty billion, two hundred fourteen million, three hundred forty-two thousand, two hundred forty".