40744003908609 has 27 divisors (see below), whose sum is σ = 60952654821513. Its totient is φ = 26225668050624.

The previous prime is 40744003908563. The next prime is 40744003908649. The reversal of 40744003908609 is 90680930044704.

It is a happy number.

The square root of 40744003908609 is 6383103.

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

40744003908609 is a `hidden beast` number, since 4 + 0 + 74 + 400 + 3 + 90 + 86 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17895412708209 + 22848591200400 = 4230297^2 + 4780020^2 .

It is not a de Polignac number, because 40744003908609 - 2¹⁹ = 40744003384321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40744003908649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 555293277 + ... + 555366645.

Almost surely, 2^{40744003908609} is an apocalyptic number.

40744003908609 is the 6383103-rd square number.

40744003908609 is the 3191552-nd centered octagonal number.

It is an amenable number.

40744003908609 is a deficient number, since it is larger than the sum of its proper divisors (20208650912904).

40744003908609 is an frugal number, since it uses more digits than its factorization.

40744003908609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146802 (or 73401 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 40744003908609 in words is "forty trillion, seven hundred forty-four billion, three million, nine hundred eight thousand, six hundred nine".