40993888606609 has 27 divisors (see below), whose sum is σ = 42585112989873. Its totient is φ = 39460793990400.

The previous prime is 40993888606597. The next prime is 40993888606679. The reversal of 40993888606609 is 90660688839904.

The square root of 40993888606609 is 6402647.

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 20089534158225 + 20904354448384 = 4482135^2 + 4572128^2 .

It is not a de Polignac number, because 40993888606609 - 2³⁷ = 40856449653137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40993888606679) 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, 47834175309 + ... + 47834176165.

Almost surely, 2^{40993888606609} is an apocalyptic number.

40993888606609 is the 6402647-th square number.

40993888606609 is the 3201324-th centered octagonal number.

It is an amenable number.

40993888606609 is a deficient number, since it is larger than the sum of its proper divisors (1591224383264).

40993888606609 is an frugal number, since it uses more digits than its factorization.

40993888606609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 76.

The spelling of 40993888606609 in words is "forty trillion, nine hundred ninety-three billion, eight hundred eighty-eight million, six hundred six thousand, six hundred nine".