11380409041 has 9 divisors (see below), whose sum is σ = 11499295899. Its totient is φ = 11262742104.

The previous prime is 11380409011. The next prime is 11380409057. The reversal of 11380409041 is 14090408311.

The square root of 11380409041 is 106679.

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

It can be written as a sum of positive squares in only one way, i.e., 9796050625 + 1584358416 = 98975^2 + 39804^2 .

It is not a de Polignac number, because 11380409041 - 2⁵ = 11380409009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11380408994 and 11380409012.

It is not an unprimeable number, because it can be changed into a prime (11380409011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11414155 + ... + 11415151.

Almost surely, 2^11380409041 is an apocalyptic number.

11380409041 is the 106679-th square number.

11380409041 is the 53340-th centered octagonal number.

It is an amenable number.

11380409041 is a deficient number, since it is larger than the sum of its proper divisors (118886858).

11380409041 is an frugal number, since it uses more digits than its factorization.

11380409041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 11380409041 in words is "eleven billion, three hundred eighty million, four hundred nine thousand, forty-one".