11041414100 has 36 divisors (see below), whose sum is σ = 23968583100. Its totient is φ = 4414959360.

The previous prime is 11041414073. The next prime is 11041414123. The reversal of 11041414100 is 141414011.

11041414100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 813732676 + 10227681424 = 28526^2 + 101132^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 278306 + ... + 315494.

It is an arithmetic number, because the mean of its divisors is an integer number (665793975).

Almost surely, 2^11041414100 is an apocalyptic number.

11041414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11041414100 is an abundant number, since it is smaller than the sum of its proper divisors (12927169000).

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

11041414100 is a wasteful number, since it uses less digits than its factorization.

11041414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40172 (or 40165 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11041414100 its reverse (141414011), we get a palindrome (11182828111).

The spelling of 11041414100 in words is "eleven billion, forty-one million, four hundred fourteen thousand, one hundred".