11116531243440 has 960 divisors, whose sum is σ = 46410124800000. Its totient is φ = 2376638724096.

The previous prime is 11116531243423. The next prime is 11116531243511. The reversal of 11116531243440 is 4434213561111.

11116531243440 is a `hidden beast` number, since 1 + 1 + 1 + 165 + 3 + 12 + 43 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11116531243395 and 11116531243404.

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 191 ways as a sum of consecutive naturals, for example, 370671966 + ... + 370701954.

It is an arithmetic number, because the mean of its divisors is an integer number (48343880000).

Almost surely, 2^{11116531243440} is an apocalyptic number.

11116531243440 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 11116531243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23205062400000).

11116531243440 is an abundant number, since it is smaller than the sum of its proper divisors (35293593556560).

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

11116531243440 is a wasteful number, since it uses less digits than its factorization.

11116531243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30127 (or 30104 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11116531243440 in words is "eleven trillion, one hundred sixteen billion, five hundred thirty-one million, two hundred forty-three thousand, four hundred forty".