11314400440241 has 16 divisors (see below), whose sum is σ = 12304147874256. Its totient is φ = 10360693886976.

The previous prime is 11314400440201. The next prime is 11314400440279. The reversal of 11314400440241 is 14204400441311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 592076386225 + 10722324054016 = 769465^2 + 3274496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11314400440241 is a prime.

It is a super-2 number, since 2×11314400440241² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11314400440201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19538825 + ... + 20109561.

It is an arithmetic number, because the mean of its divisors is an integer number (769009242141).

Almost surely, 2^{11314400440241} is an apocalyptic number.

It is an amenable number.

11314400440241 is a deficient number, since it is larger than the sum of its proper divisors (989747434015).

11314400440241 is a wasteful number, since it uses less digits than its factorization.

11314400440241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602308.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 11314400440241 its reverse (14204400441311), we get a palindrome (25518800881552).

The spelling of 11314400440241 in words is "eleven trillion, three hundred fourteen billion, four hundred million, four hundred forty thousand, two hundred forty-one".