40726065249 has 45 divisors (see below), whose sum is σ = 64675935907. Its totient is φ = 25534236096.

The previous prime is 40726065239. The next prime is 40726065277. The reversal of 40726065249 is 94256062704.

The square root of 40726065249 is 201807.

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

It can be written as a sum of positive squares in only one way, i.e., 31707144225 + 9018921024 = 178065^2 + 94968^2 .

It is not a de Polignac number, because 40726065249 - 2¹⁵ = 40726032481 is a prime.

It is a super-2 number, since 2×40726065249² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40726065239) 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 44 ways as a sum of consecutive naturals, for example, 30875812 + ... + 30877130.

Almost surely, 2^40726065249 is an apocalyptic number.

40726065249 is the 201807-th square number.

40726065249 is the 100904-th centered octagonal number.

It is an amenable number.

40726065249 is a deficient number, since it is larger than the sum of its proper divisors (23949870658).

40726065249 is an frugal number, since it uses more digits than its factorization.

40726065249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40726065249 in words is "forty billion, seven hundred twenty-six million, sixty-five thousand, two hundred forty-nine".