1211414331441 has 16 divisors (see below), whose sum is σ = 1630605081600. Its totient is φ = 799921726848.

The previous prime is 1211414331389. The next prime is 1211414331461. The reversal of 1211414331441 is 1441334141121.

It is not a de Polignac number, because 1211414331441 - 2¹⁵ = 1211414298673 is a prime.

It is a super-3 number, since 3×1211414331441³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1211414331399 and 1211414331408.

It is not an unprimeable number, because it can be changed into a prime (1211414331461) 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, 298045 + ... + 1584821.

It is an arithmetic number, because the mean of its divisors is an integer number (101912817600).

Almost surely, 2^{1211414331441} is an apocalyptic number.

It is an amenable number.

1211414331441 is a deficient number, since it is larger than the sum of its proper divisors (419190750159).

1211414331441 is a wasteful number, since it uses less digits than its factorization.

1211414331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289768.

The product of its digits is 4608, while the sum is 30.

Adding to 1211414331441 its reverse (1441334141121), we get a palindrome (2652748472562).

The spelling of 1211414331441 in words is "one trillion, two hundred eleven billion, four hundred fourteen million, three hundred thirty-one thousand, four hundred forty-one".