40236173553601 has 27 divisors (see below), whose sum is σ = 42482854101961. Its totient is φ = 38106488891744.

The previous prime is 40236173553559. The next prime is 40236173553607. The reversal of 40236173553601 is 10635537163204.

The square root of 40236173553601 is 6343199.

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

40236173553601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2524587321025 + 37711586232576 = 1588895^2 + 6140976^2 .

It is not a de Polignac number, because 40236173553601 - 2¹³ = 40236173545409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40236173553607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9749494800 + ... + 9749498926.

Almost surely, 2^{40236173553601} is an apocalyptic number.

40236173553601 is the 6343199-th square number.

40236173553601 is the 3171600-th centered octagonal number.

It is an amenable number.

40236173553601 is a deficient number, since it is larger than the sum of its proper divisors (2246680548360).

40236173553601 is an frugal number, since it uses more digits than its factorization.

40236173553601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 40236173553601 in words is "forty trillion, two hundred thirty-six billion, one hundred seventy-three million, five hundred fifty-three thousand, six hundred one".