406334506506 has 128 divisors (see below), whose sum is σ = 875998126080. Its totient is φ = 125434233600.

The previous prime is 406334506499. The next prime is 406334506573. The reversal of 406334506506 is 605605433604.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 76189816 + ... + 76195148.

It is an arithmetic number, because the mean of its divisors is an integer number (6843735360).

Almost surely, 2^406334506506 is an apocalyptic number.

406334506506 is an abundant number, since it is smaller than the sum of its proper divisors (469663619574).

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

406334506506 is a wasteful number, since it uses less digits than its factorization.

406334506506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612.

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 406334506506 in words is "four hundred six billion, three hundred thirty-four million, five hundred six thousand, five hundred six".