7132793391441 has 27 divisors (see below), whose sum is σ = 10357780422171. Its totient is φ = 4730010619824.

The previous prime is 7132793391439. The next prime is 7132793391509. The reversal of 7132793391441 is 1441933972317.

It is a happy number.

The square root of 7132793391441 is 2670729.

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

7132793391441 is a `hidden beast` number, since 7 + 1 + 3 + 27 + 93 + 3 + 91 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6988700268225 + 144093123216 = 2643615^2 + 379596^2 .

It is not a de Polignac number, because 7132793391441 - 2¹ = 7132793391439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7132793321441) 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, 1578398580 + ... + 1578403098.

Almost surely, 2^{7132793391441} is an apocalyptic number.

7132793391441 is the 2670729-th square number.

7132793391441 is the 1335365-th centered octagonal number.

It is an amenable number.

7132793391441 is a deficient number, since it is larger than the sum of its proper divisors (3224987030730).

7132793391441 is an frugal number, since it uses more digits than its factorization.

7132793391441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9438 (or 4719 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 7132793391441 in words is "seven trillion, one hundred thirty-two billion, seven hundred ninety-three million, three hundred ninety-one thousand, four hundred forty-one".