40797132289 has 27 divisors (see below), whose sum is σ = 43154545833. Its totient is φ = 38567441952.

The previous prime is 40797132263. The next prime is 40797132347. The reversal of 40797132289 is 98223179704.

The square root of 40797132289 is 201983.

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 16286098689 + 24511033600 = 127617^2 + 156560^2 .

It is not a de Polignac number, because 40797132289 - 2⁷ = 40797132161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40797132209) 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, 396088612 + ... + 396088714.

Almost surely, 2^40797132289 is an apocalyptic number.

40797132289 is the 201983-rd square number.

40797132289 is the 100992-nd centered octagonal number.

It is an amenable number.

40797132289 is a deficient number, since it is larger than the sum of its proper divisors (2357413544).

40797132289 is an frugal number, since it uses more digits than its factorization.

40797132289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 40797132289 in words is "forty billion, seven hundred ninety-seven million, one hundred thirty-two thousand, two hundred eighty-nine".