11241400414211 has 16 divisors (see below), whose sum is σ = 12281238459360. Its totient is φ = 10204552888320.

The previous prime is 11241400414207. The next prime is 11241400414267.

11241400414211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11241400414211 - 2² = 11241400414207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11241400464211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26697731 + ... + 27115523.

It is an arithmetic number, because the mean of its divisors is an integer number (767577403710).

Almost surely, 2^{11241400414211} is an apocalyptic number.

11241400414211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11241400414211 is a deficient number, since it is larger than the sum of its proper divisors (1039838045149).

11241400414211 is a wasteful number, since it uses less digits than its factorization.

11241400414211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421366.

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

It can be divided in two parts, 11241400 and 414211, that added together give a palindrome (11655611).

The spelling of 11241400414211 in words is "eleven trillion, two hundred forty-one billion, four hundred million, four hundred fourteen thousand, two hundred eleven".