1005465447441 has 81 divisors (see below), whose sum is σ = 1829908650609. Its totient is φ = 530211007872.

The previous prime is 1005465447439. The next prime is 1005465447521. The reversal of 1005465447441 is 1447445645001.

The square root of 1005465447441 is 1002729.

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

1005465447441 is a `hidden beast` number, since 10 + 0 + 54 + 6 + 544 + 7 + 4 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 635095831041 + 370369616400 = 796929^2 + 608580^2 .

It is not a de Polignac number, because 1005465447441 - 2¹ = 1005465447439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005465447421) 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 80 ways as a sum of consecutive naturals, for example, 273743181 + ... + 273746853.

Almost surely, 2^{1005465447441} is an apocalyptic number.

1005465447441 is the 1002729-th square number.

1005465447441 is the 501365-th centered octagonal number.

It is an amenable number.

1005465447441 is a deficient number, since it is larger than the sum of its proper divisors (824443203168).

1005465447441 is an frugal number, since it uses more digits than its factorization.

1005465447441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 1005465447441 in words is "one trillion, five billion, four hundred sixty-five million, four hundred forty-seven thousand, four hundred forty-one".