40540614409 has 27 divisors (see below), whose sum is σ = 43123087189. Its totient is φ = 38110960160.

The previous prime is 40540614403. The next prime is 40540614419. The reversal of 40540614409 is 90441604504.

The square root of 40540614409 is 201347.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2543689225 + 37996925184 = 50435^2 + 194928^2 .

It is not a de Polignac number, because 40540614409 - 2⁵ = 40540614377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40540614403) 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, 309470274 + ... + 309470404.

Almost surely, 2^40540614409 is an apocalyptic number.

40540614409 is the 201347-th square number.

40540614409 is the 100674-th centered octagonal number.

It is an amenable number.

40540614409 is a deficient number, since it is larger than the sum of its proper divisors (2582472780).

40540614409 is an frugal number, since it uses more digits than its factorization.

40540614409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 40540614409 in words is "forty billion, five hundred forty million, six hundred fourteen thousand, four hundred nine".