40225441576609 has 27 divisors (see below), whose sum is σ = 41201998647147. Its totient is φ = 39271849776000.

The previous prime is 40225441576571. The next prime is 40225441576667. The reversal of 40225441576609 is 90667514452204.

The square root of 40225441576609 is 6342353.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10447989552225 + 29777452024384 = 3232335^2 + 5456872^2 .

It is a de Polignac number, because none of the positive numbers 2^k-40225441576609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40225441576609.

It is not an unprimeable number, because it can be changed into a prime (40225441576009) 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, 66930850909 + ... + 66930851509.

Almost surely, 2^{40225441576609} is an apocalyptic number.

40225441576609 is the 6342353-rd square number.

40225441576609 is the 3171177-th centered octagonal number.

It is an amenable number.

40225441576609 is a deficient number, since it is larger than the sum of its proper divisors (976557070538).

40225441576609 is an frugal number, since it uses more digits than its factorization.

40225441576609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 40225441576609 in words is "forty trillion, two hundred twenty-five billion, four hundred forty-one million, five hundred seventy-six thousand, six hundred nine".