11141338420224 has 440 divisors, whose sum is σ = 34853722041600. Its totient is φ = 3540268892160.

The previous prime is 11141338420211. The next prime is 11141338420243. The reversal of 11141338420224 is 42202483314111.

11141338420224 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 1 + 3 + 3 + 8 + 420 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 189995389 + ... + 190054019.

It is an arithmetic number, because the mean of its divisors is an integer number (79213004640).

Almost surely, 2^{11141338420224} 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 11141338420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426861020800).

11141338420224 is an abundant number, since it is smaller than the sum of its proper divisors (23712383621376).

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

11141338420224 is an equidigital number, since it uses as much as digits as its factorization.

11141338420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58771 (or 58744 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11141338420224 in words is "eleven trillion, one hundred forty-one billion, three hundred thirty-eight million, four hundred twenty thousand, two hundred twenty-four".