331153012440441 has 20 divisors (see below), whose sum is σ = 494724277573812. Its totient is φ = 220751308689408.

The previous prime is 331153012440401. The next prime is 331153012440473. The reversal of 331153012440441 is 144044210351133.

331153012440441 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 53 + 0 + 124 + 40 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156405763800441 + 174747248640000 = 12506229^2 + 13219200^2 .

It is not a de Polignac number, because 331153012440441 - 2²³ = 331153004051833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331153012440396 and 331153012440405.

It is not an unprimeable number, because it can be changed into a prime (331153012440401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159762696 + ... + 161822201.

Almost surely, 2^{331153012440441} is an apocalyptic number.

It is an amenable number.

331153012440441 is a deficient number, since it is larger than the sum of its proper divisors (163571265133371).

331153012440441 is a wasteful number, since it uses less digits than its factorization.

331153012440441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321597622 (or 321597613 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 331153012440441 its reverse (144044210351133), we get a palindrome (475197222791574).

The spelling of 331153012440441 in words is "three hundred thirty-one trillion, one hundred fifty-three billion, twelve million, four hundred forty thousand, four hundred forty-one".