1211040441 has 48 divisors (see below), whose sum is σ = 2015539344. Its totient is φ = 694075392.

The previous prime is 1211040409. The next prime is 1211040443. The reversal of 1211040441 is 1440401121.

1211040441 is a `hidden beast` number, since 121 + 104 + 0 + 441 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 70560000 + 1140480441 = 8400^2 + 33771^2 .

It is not a de Polignac number, because 1211040441 - 2⁵ = 1211040409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1211040443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189795 + ... + 196071.

It is an arithmetic number, because the mean of its divisors is an integer number (41990403).

Almost surely, 2^1211040441 is an apocalyptic number.

It is an amenable number.

1211040441 is a deficient number, since it is larger than the sum of its proper divisors (804498903).

1211040441 is a wasteful number, since it uses less digits than its factorization.

1211040441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1211040441 is about 34800.0063362063. The cubic root of 1211040441 is about 1065.9075752324.

Adding to 1211040441 its reverse (1440401121), we get a palindrome (2651441562).

The spelling of 1211040441 in words is "one billion, two hundred eleven million, forty thousand, four hundred forty-one".