400104634185 has 20 divisors (see below), whose sum is σ = 717224604228. Its totient is φ = 213389138016.

The previous prime is 400104634151. The next prime is 400104634199. The reversal of 400104634185 is 581436401004.

400104634185 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 0 + 4 + 634 + 18 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94857224121 + 305247410064 = 307989^2 + 552492^2 .

It is not a de Polignac number, because 400104634185 - 2⁷ = 400104634057 is a prime.

It is a super-2 number, since 2×400104634185² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 493955934 + ... + 493956743.

Almost surely, 2^400104634185 is an apocalyptic number.

400104634185 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400104634185 is a deficient number, since it is larger than the sum of its proper divisors (317119970043).

400104634185 is an equidigital number, since it uses as much as digits as its factorization.

400104634185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987912694 (or 987912685 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 400104 and 634185, that added together give a square (1034289 = 1017²).

The spelling of 400104634185 in words is "four hundred billion, one hundred four million, six hundred thirty-four thousand, one hundred eighty-five".