40693782529 has 9 divisors (see below), whose sum is σ = 41384344131. Its totient is φ = 40014567720.

The previous prime is 40693782499. The next prime is 40693782541. The reversal of 40693782529 is 92528739604.

The square root of 40693782529 is 201727.

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., 1323286129 + 39370496400 = 36377^2 + 198420^2 .

It is not a de Polignac number, because 40693782529 - 2¹⁷ = 40693651457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40693782529.

It is not an unprimeable number, because it can be changed into a prime (40693788529) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12303694 + ... + 12307000.

It is an arithmetic number, because the mean of its divisors is an integer number (4598260459).

Almost surely, 2^40693782529 is an apocalyptic number.

40693782529 is the 201727-th square number.

40693782529 is the 100864-th centered octagonal number.

It is an amenable number.

40693782529 is a deficient number, since it is larger than the sum of its proper divisors (690561602).

40693782529 is an frugal number, since it uses more digits than its factorization.

40693782529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 40693782529 in words is "forty billion, six hundred ninety-three million, seven hundred eighty-two thousand, five hundred twenty-nine".