11105240040000 has 420 divisors, whose sum is σ = 39853243364220. Its totient is φ = 2955663360000.

The previous prime is 11105240039977. The next prime is 11105240040079. The reversal of 11105240040000 is 4004250111.

11105240040000 is a `hidden beast` number, since 11 + 10 + 5 + 240 + 0 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 9197924364864 + 1907315675136 = 3032808^2 + 1381056^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 187530396 + ... + 187589604.

Almost surely, 2^{11105240040000} is an apocalyptic number.

11105240040000 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 11105240040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926621682110).

11105240040000 is an abundant number, since it is smaller than the sum of its proper divisors (28748003324220).

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

11105240040000 is an equidigital number, since it uses as much as digits as its factorization.

11105240040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59768 (or 59740 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11105240040000 its reverse (4004250111), we get a palindrome (11109244290111).

The spelling of 11105240040000 in words is "eleven trillion, one hundred five billion, two hundred forty million, forty thousand".