40164202305 has 12 divisors (see below), whose sum is σ = 69617950740. Its totient is φ = 21420907872.

The previous prime is 40164202291. The next prime is 40164202319. The reversal of 40164202305 is 50320246104.

40164202305 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 420 + 230 + 5 = 666.

40164202305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40164202291) and next prime (40164202319).

It can be written as a sum of positive squares in 2 ways, for example, as 25070605569 + 15093596736 = 158337^2 + 122856^2 .

It is not a de Polignac number, because 40164202305 - 2⁴ = 40164202289 is a prime.

It is a super-2 number, since 2×40164202305² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446268870 + ... + 446268959.

It is an arithmetic number, because the mean of its divisors is an integer number (5801495895).

Almost surely, 2^40164202305 is an apocalyptic number.

40164202305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40164202305 is a deficient number, since it is larger than the sum of its proper divisors (29453748435).

40164202305 is a wasteful number, since it uses less digits than its factorization.

40164202305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892537840 (or 892537837 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40164202305 its reverse (50320246104), we get a palindrome (90484448409).

The spelling of 40164202305 in words is "forty billion, one hundred sixty-four million, two hundred two thousand, three hundred five".