414010535085 has 96 divisors (see below), whose sum is σ = 836695941120. Its totient is φ = 185477935104.

The previous prime is 414010535053. The next prime is 414010535111. The reversal of 414010535085 is 580535010414.

414010535085 is a `hidden beast` number, since 4 + 1 + 40 + 1 + 0 + 535 + 0 + 85 = 666.

414010535085 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 414010535085 - 2⁵ = 414010535053 is a prime.

It is a super-2 number, since 2×414010535085² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3102612 + ... + 3233298.

It is an arithmetic number, because the mean of its divisors is an integer number (8715582720).

Almost surely, 2^414010535085 is an apocalyptic number.

414010535085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414010535085 is an abundant number, since it is smaller than the sum of its proper divisors (422685406035).

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

414010535085 is a wasteful number, since it uses less digits than its factorization.

414010535085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130907 (or 130904 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 414010535085 its reverse (580535010414), we get a palindrome (994545545499).

The spelling of 414010535085 in words is "four hundred fourteen billion, ten million, five hundred thirty-five thousand, eighty-five".