40966164801 has 45 divisors (see below), whose sum is σ = 62772661809. Its totient is φ = 26624637144.

The previous prime is 40966164787. The next prime is 40966164821. The reversal of 40966164801 is 10846166904.

The square root of 40966164801 is 202401.

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

40966164801 is a `hidden beast` number, since 409 + 6 + 6 + 164 + 80 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-40966164801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40966164821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 78328926 + ... + 78329448.

Almost surely, 2^40966164801 is an apocalyptic number.

40966164801 is the 202401-st square number.

40966164801 is the 101201-st centered octagonal number.

It is an amenable number.

40966164801 is a deficient number, since it is larger than the sum of its proper divisors (21806497008).

40966164801 is an frugal number, since it uses more digits than its factorization.

40966164801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40966164801 in words is "forty billion, nine hundred sixty-six million, one hundred sixty-four thousand, eight hundred one".