20311441041441 has 96 divisors (see below), whose sum is σ = 30417341875200. Its totient is φ = 11956172511360.

The previous prime is 20311441041427. The next prime is 20311441041467. The reversal of 20311441041441 is 14414014411302.

It is not a de Polignac number, because 20311441041441 - 2¹³ = 20311441033249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20311441041399 and 20311441041408.

It is not an unprimeable number, because it can be changed into a prime (20311441041341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9178237051 + ... + 9178239263.

It is an arithmetic number, because the mean of its divisors is an integer number (316847311200).

Almost surely, 2^{20311441041441} is an apocalyptic number.

It is an amenable number.

20311441041441 is a deficient number, since it is larger than the sum of its proper divisors (10105900833759).

20311441041441 is a wasteful number, since it uses less digits than its factorization.

20311441041441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 20311441041441 its reverse (14414014411302), we get a palindrome (34725455452743).

The spelling of 20311441041441 in words is "twenty trillion, three hundred eleven billion, four hundred forty-one million, forty-one thousand, four hundred forty-one".