406516418145 has 64 divisors (see below), whose sum is σ = 761660774400. Its totient is φ = 205147131840.

The previous prime is 406516418093. The next prime is 406516418153. The reversal of 406516418145 is 541814615604.

406516418145 is a `hidden beast` number, since 40 + 6 + 51 + 6 + 418 + 145 = 666.

It is not a de Polignac number, because 406516418145 - 2⁷ = 406516418017 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 406516418145.

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 63 ways as a sum of consecutive naturals, for example, 2014710 + ... + 2207280.

It is an arithmetic number, because the mean of its divisors is an integer number (11900949600).

Almost surely, 2^406516418145 is an apocalyptic number.

406516418145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406516418145 is a deficient number, since it is larger than the sum of its proper divisors (355144356255).

406516418145 is a wasteful number, since it uses less digits than its factorization.

406516418145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193427 (or 193421 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 406516418145 in words is "four hundred six billion, five hundred sixteen million, four hundred eighteen thousand, one hundred forty-five".