11000100000040 has 16 divisors (see below), whose sum is σ = 24750225000180. Its totient is φ = 4400040000000.

The previous prime is 11000100000007. The next prime is 11000100000047. The reversal of 11000100000040 is 4000000100011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10768097864484 + 232002135556 = 3281478^2 + 481666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11000099999969 and 11000100000032.

It is not an unprimeable number, because it can be changed into a prime (11000100000047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137501249961 + ... + 137501250040.

Almost surely, 2^{11000100000040} is an apocalyptic number.

11000100000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000100000040 is an abundant number, since it is smaller than the sum of its proper divisors (13750125000140).

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

11000100000040 is a wasteful number, since it uses less digits than its factorization.

11000100000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275002500012 (or 275002500008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11000100000040 its reverse (4000000100011), we get a palindrome (15000100100051).

The spelling of 11000100000040 in words is "eleven trillion, one hundred million, forty", and thus it is an aban number.