40120227406809 has 81 divisors (see below), whose sum is σ = 63995089740309. Its totient is φ = 24202669875120.

The previous prime is 40120227406801. The next prime is 40120227406829. The reversal of 40120227406809 is 90860472202104.

The square root of 40120227406809 is 6334053.

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

40120227406809 is a `hidden beast` number, since 4 + 0 + 12 + 0 + 227 + 406 + 8 + 0 + 9 = 666.

It is not a de Polignac number, because 40120227406809 - 2³ = 40120227406801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40120227406801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 76711715622 + ... + 76711716144.

Almost surely, 2^{40120227406809} is an apocalyptic number.

40120227406809 is the 6334053-rd square number.

40120227406809 is the 3167027-th centered octagonal number.

It is an amenable number.

40120227406809 is a deficient number, since it is larger than the sum of its proper divisors (23874862333500).

40120227406809 is an frugal number, since it uses more digits than its factorization.

40120227406809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40120227406809 in words is "forty trillion, one hundred twenty billion, two hundred twenty-seven million, four hundred six thousand, eight hundred nine".