11124210240 has 336 divisors, whose sum is σ = 44953586496. Its totient is φ = 2489241600.

The previous prime is 11124210217. The next prime is 11124210277. The reversal of 11124210240 is 4201242111.

11124210240 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 421 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398335 + ... + 425345.

It is an arithmetic number, because the mean of its divisors is an integer number (133790436).

Almost surely, 2^11124210240 is an apocalyptic number.

11124210240 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 11124210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22476793248).

11124210240 is an abundant number, since it is smaller than the sum of its proper divisors (33829376256).

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

11124210240 is a wasteful number, since it uses less digits than its factorization.

11124210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27058 (or 27045 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11124210240 its reverse (4201242111), we get a palindrome (15325452351).

The spelling of 11124210240 in words is "eleven billion, one hundred twenty-four million, two hundred ten thousand, two hundred forty".