441414131322101 has 16 divisors (see below), whose sum is σ = 506110530621696. Its totient is φ = 377127664010496.

The previous prime is 441414131322091. The next prime is 441414131322103. The reversal of 441414131322101 is 101223131414144.

It is not a de Polignac number, because 441414131322101 - 2⁶ = 441414131322037 is a prime.

It is a super-2 number, since 2×441414131322101² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441414131322103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17429426 + ... + 34447251.

It is an arithmetic number, because the mean of its divisors is an integer number (31631908163856).

Almost surely, 2^{441414131322101} is an apocalyptic number.

It is an amenable number.

441414131322101 is a deficient number, since it is larger than the sum of its proper divisors (64696399299595).

441414131322101 is a wasteful number, since it uses less digits than its factorization.

441414131322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51880628.

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 441414131322101 its reverse (101223131414144), we get a palindrome (542637262736245).

The spelling of 441414131322101 in words is "four hundred forty-one trillion, four hundred fourteen billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred one".