40951923598161 has 15 divisors (see below), whose sum is σ = 61175181781483. Its totient is φ = 27301244002560.

The previous prime is 40951923598133. The next prime is 40951923598163. The reversal of 40951923598161 is 16189532915904.

The square root of 40951923598161 is 6399369.

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

40951923598161 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 1 + 9 + 23 + 598 + 16 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3607602598161 + 37344321000000 = 1899369^2 + 6111000^2 .

It is not a de Polignac number, because 40951923598161 - 2⁵ = 40951923598129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40951923598163) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 57238801 + ... + 57949841.

Almost surely, 2^{40951923598161} is an apocalyptic number.

40951923598161 is the 6399369-th square number.

40951923598161 is the 3199685-th centered octagonal number.

It is an amenable number.

40951923598161 is a deficient number, since it is larger than the sum of its proper divisors (20223258183322).

40951923598161 is an frugal number, since it uses more digits than its factorization.

40951923598161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422094 (or 711044 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 40951923598161 in words is "forty trillion, nine hundred fifty-one billion, nine hundred twenty-three million, five hundred ninety-eight thousand, one hundred sixty-one".