4316093505441 has 27 divisors (see below), whose sum is σ = 6517417933299. Its totient is φ = 2752200099792.

The previous prime is 4316093505433. The next prime is 4316093505469. The reversal of 4316093505441 is 1445053906134.

The square root of 4316093505441 is 2077521.

It is a perfect power (a square), and thus also a powerful number.

4316093505441 is a `hidden beast` number, since 4 + 3 + 1 + 609 + 35 + 0 + 5 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1532468209041 + 2783625296400 = 1237929^2 + 1668420^2 .

It is not a de Polignac number, because 4316093505441 - 2³ = 4316093505433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4316093505431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143333895 + ... + 143364003.

Almost surely, 2^{4316093505441} is an apocalyptic number.

4316093505441 is the 2077521-st square number.

4316093505441 is the 1038761-st centered octagonal number.

It is an amenable number.

4316093505441 is a deficient number, since it is larger than the sum of its proper divisors (2201324427858).

4316093505441 is an frugal number, since it uses more digits than its factorization.

4316093505441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60270 (or 30135 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 4316093505441 in words is "four trillion, three hundred sixteen billion, ninety-three million, five hundred five thousand, four hundred forty-one".