11240110414224 has 160 divisors (see below), whose sum is σ = 33139488083840. Its totient is φ = 3644976112128.

The previous prime is 11240110414189. The next prime is 11240110414259. The reversal of 11240110414224 is 42241401104211.

11240110414224 is a `hidden beast` number, since 1 + 1 + 24 + 0 + 1 + 1 + 0 + 414 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (11240110414189) and next prime (11240110414259).

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138652647 + ... + 138733689.

It is an arithmetic number, because the mean of its divisors is an integer number (207121800524).

Almost surely, 2^{11240110414224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11240110414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569744041920).

11240110414224 is an abundant number, since it is smaller than the sum of its proper divisors (21899377669616).

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

11240110414224 is a wasteful number, since it uses less digits than its factorization.

11240110414224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89774 (or 89762 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11240110414224 its reverse (42241401104211), we get a palindrome (53481511518435).

The spelling of 11240110414224 in words is "eleven trillion, two hundred forty billion, one hundred ten million, four hundred fourteen thousand, two hundred twenty-four".