40132306208205 has 128 divisors (see below), whose sum is σ = 72589251133440. Its totient is φ = 21034850135040.

The previous prime is 40132306208153. The next prime is 40132306208231. The reversal of 40132306208205 is 50280260323104.

40132306208205 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 2 + 3 + 0 + 620 + 8 + 20 + 5 = 666.

It is not a de Polignac number, because 40132306208205 - 2⁸ = 40132306207949 is a prime.

It is a super-2 number, since 2×40132306208205² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40132306208205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1071690792 + ... + 1071728238.

It is an arithmetic number, because the mean of its divisors is an integer number (567103524480).

Almost surely, 2^{40132306208205} is an apocalyptic number.

40132306208205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40132306208205 is a deficient number, since it is larger than the sum of its proper divisors (32456944925235).

40132306208205 is a wasteful number, since it uses less digits than its factorization.

40132306208205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38168 (or 38162 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40132306208205 in words is "forty trillion, one hundred thirty-two billion, three hundred six million, two hundred eight thousand, two hundred five".