11240411404211 has 32 divisors (see below), whose sum is σ = 12761454182400. Its totient is φ = 9810709080480.

The previous prime is 11240411404169. The next prime is 11240411404217.

11240411404211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11240411404211 - 2¹⁴ = 11240411387827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11240411404217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395120990 + ... + 395149436.

It is an arithmetic number, because the mean of its divisors is an integer number (398795443200).

Almost surely, 2^{11240411404211} is an apocalyptic number.

11240411404211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11240411404211 is a deficient number, since it is larger than the sum of its proper divisors (1521042778189).

11240411404211 is a wasteful number, since it uses less digits than its factorization.

11240411404211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42719.

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 1124041 and 1404211, that added together give a palindrome (2528252).

The spelling of 11240411404211 in words is "eleven trillion, two hundred forty billion, four hundred eleven million, four hundred four thousand, two hundred eleven".