11144240036640 has 288 divisors, whose sum is σ = 38122870968000. Its totient is φ = 2964527216640.

The previous prime is 11144240036617. The next prime is 11144240036647. The reversal of 11144240036640 is 4663004244111.

11144240036640 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 2 + 4 + 0 + 0 + 3 + 6 + 640 = 666.

11144240036640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 11144240036595 and 11144240036604.

It is not an unprimeable number, because it can be changed into a prime (11144240036647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103494311 + ... + 1103504409.

It is an arithmetic number, because the mean of its divisors is an integer number (132371079750).

Almost surely, 2^{11144240036640} is an apocalyptic number.

11144240036640 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 11144240036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061435484000).

11144240036640 is an abundant number, since it is smaller than the sum of its proper divisors (26978630931360).

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

11144240036640 is a wasteful number, since it uses less digits than its factorization.

11144240036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920 (or 11909 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 11144240036640 in words is "eleven trillion, one hundred forty-four billion, two hundred forty million, thirty-six thousand, six hundred forty".