414120850605 has 96 divisors (see below), whose sum is σ = 901370695680. Its totient is φ = 170863827840.

The previous prime is 414120850589. The next prime is 414120850607. The reversal of 414120850605 is 506058021414.

It is a happy number.

414120850605 is a `hidden beast` number, since 4 + 1 + 41 + 2 + 0 + 8 + 5 + 0 + 605 = 666.

It is not a de Polignac number, because 414120850605 - 2⁴ = 414120850589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414120850605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414120850607) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 51724 + ... + 911546.

It is an arithmetic number, because the mean of its divisors is an integer number (9389278080).

Almost surely, 2^414120850605 is an apocalyptic number.

414120850605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414120850605 is an abundant number, since it is smaller than the sum of its proper divisors (487249845075).

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

414120850605 is a wasteful number, since it uses less digits than its factorization.

414120850605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859991 (or 859988 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 414120850605 in words is "four hundred fourteen billion, one hundred twenty million, eight hundred fifty thousand, six hundred five".