406617413121 has 12 divisors (see below), whose sum is σ = 601661538660. Its totient is φ = 264466609920.

The previous prime is 406617413107. The next prime is 406617413143. The reversal of 406617413121 is 121314716604.

406617413121 is a `hidden beast` number, since 4 + 0 + 6 + 617 + 4 + 1 + 31 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12114084096 + 394503329025 = 110064^2 + 628095^2 .

It is not a de Polignac number, because 406617413121 - 2⁵ = 406617413089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406617413221) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 550971736 + ... + 550972473.

It is an arithmetic number, because the mean of its divisors is an integer number (50138461555).

Almost surely, 2^406617413121 is an apocalyptic number.

406617413121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

406617413121 is a deficient number, since it is larger than the sum of its proper divisors (195044125539).

406617413121 is a wasteful number, since it uses less digits than its factorization.

406617413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101944256 (or 1101944253 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 406617413121 in words is "four hundred six billion, six hundred seventeen million, four hundred thirteen thousand, one hundred twenty-one".