40536724000185 has 64 divisors (see below), whose sum is σ = 82952848742400. Its totient is φ = 18397756691136.

The previous prime is 40536724000169. The next prime is 40536724000189. The reversal of 40536724000185 is 58100042763504.

40536724000185 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 67 + 2 + 400 + 0 + 185 = 666.

It is not a de Polignac number, because 40536724000185 - 2⁴ = 40536724000169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40536724000185.

It is not an unprimeable number, because it can be changed into a prime (40536724000189) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154170819 + ... + 154433528.

It is an arithmetic number, because the mean of its divisors is an integer number (1296138261600).

Almost surely, 2^{40536724000185} is an apocalyptic number.

40536724000185 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40536724000185 is an abundant number, since it is smaller than the sum of its proper divisors (42416124742215).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40536724000185 is a wasteful number, since it uses less digits than its factorization.

40536724000185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308604507 (or 308604501 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 40536724000185 its reverse (58100042763504), we get a palindrome (98636766763689).

The spelling of 40536724000185 in words is "forty trillion, five hundred thirty-six billion, seven hundred twenty-four million, one hundred eighty-five", and thus it is an aban number.