40955640625 has 21 divisors (see below), whose sum is σ = 51225535711. Its totient is φ = 32744275000.

The previous prime is 40955640581. The next prime is 40955640631. The reversal of 40955640625 is 52604655904.

The square root of 40955640625 is 202375.

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

It can be written as a sum of positive squares in 3 ways, for example, as 35881072929 + 5074567696 = 189423^2 + 71236^2 .

It is not a de Polignac number, because 40955640625 - 2⁹ = 40955640113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 25296066 + ... + 25297684.

Almost surely, 2^40955640625 is an apocalyptic number.

40955640625 is the 202375-th square number.

40955640625 is the 101188-th centered octagonal number.

It is an amenable number.

40955640625 is a deficient number, since it is larger than the sum of its proper divisors (10269895086).

40955640625 is an frugal number, since it uses more digits than its factorization.

40955640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 40955640625 in words is "forty billion, nine hundred fifty-five million, six hundred forty thousand, six hundred twenty-five".