406542121245604 has 48 divisors (see below), whose sum is σ = 767880512542080. Its totient is φ = 187635544081920.

The previous prime is 406542121245521. The next prime is 406542121245613.

406542121245604 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193786912 + ... + 195873559.

It is an arithmetic number, because the mean of its divisors is an integer number (15997510677960).

Almost surely, 2^{406542121245604} is an apocalyptic number.

It is an amenable number.

406542121245604 is a deficient number, since it is larger than the sum of its proper divisors (361338391296476).

406542121245604 is a wasteful number, since it uses less digits than its factorization.

406542121245604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389660788 (or 389660786 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

The spelling of 406542121245604 in words is "four hundred six trillion, five hundred forty-two billion, one hundred twenty-one million, two hundred forty-five thousand, six hundred four".