11273980041 has 9 divisors (see below), whose sum is σ = 16285097959. Its totient is φ = 7515774336.

The previous prime is 11273980033. The next prime is 11273980073. The reversal of 11273980041 is 14008937211.

It is a happy number.

The square root of 11273980041 is 106179.

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., 11211633225 + 62346816 = 105885^2 + 7896^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11273980041 - 2³ = 11273980033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11273979978 and 11273980005.

It is not an unprimeable number, because it can be changed into a prime (11273980841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 300841 + ... + 336233.

Almost surely, 2^11273980041 is an apocalyptic number.

11273980041 is the 106179-th square number.

11273980041 is the 53090-th centered octagonal number.

It is an amenable number.

11273980041 is a deficient number, since it is larger than the sum of its proper divisors (5011117918).

11273980041 is an frugal number, since it uses more digits than its factorization.

11273980041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70792 (or 35396 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 11273980041 by its sum of digits (36), we get a square (405863281476 = 637074²).

The spelling of 11273980041 in words is "eleven billion, two hundred seventy-three million, nine hundred eighty thousand, forty-one".