40536613384569 has 81 divisors (see below), whose sum is σ = 62421887498061. Its totient is φ = 25347142117440.

The previous prime is 40536613384529. The next prime is 40536613384583. The reversal of 40536613384569 is 96548331663504.

The square root of 40536613384569 is 6366837.

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

40536613384569 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 6 + 61 + 3 + 3 + 8 + 4 + 569 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10102766895225 + 30433846489344 = 3178485^2 + 5516688^2 .

It is not a de Polignac number, because 40536613384569 - 2¹¹ = 40536613382521 is a prime.

It is a super-2 number, since 2×40536613384569² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40536613384529) 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, 23283522039 + ... + 23283523779.

Almost surely, 2^{40536613384569} is an apocalyptic number.

40536613384569 is the 6366837-th square number.

40536613384569 is the 3183419-th centered octagonal number.

It is an amenable number.

40536613384569 is a deficient number, since it is larger than the sum of its proper divisors (21885274113492).

40536613384569 is an frugal number, since it uses more digits than its factorization.

40536613384569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 40536613384569 in words is "forty trillion, five hundred thirty-six billion, six hundred thirteen million, three hundred eighty-four thousand, five hundred sixty-nine".