11040933384100 has 81 divisors (see below), whose sum is σ = 24080501796771. Its totient is φ = 4394057496000.

The previous prime is 11040933384097. The next prime is 11040933384127. The reversal of 11040933384100 is 148333904011.

The square root of 11040933384100 is 3322790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1506869182116 + 9534064201984 = 1227546^2 + 3087728^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11040933384100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7609188375 + ... + 7609189825.

Almost surely, 2^{11040933384100} is an apocalyptic number.

11040933384100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11040933384100 is the 3322790-th square number.

It is an amenable number.

11040933384100 is an abundant number, since it is smaller than the sum of its proper divisors (13039568412671).

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

11040933384100 is an frugal number, since it uses more digits than its factorization.

11040933384100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 11040933384100 in words is "eleven trillion, forty billion, nine hundred thirty-three million, three hundred eighty-four thousand, one hundred".