406315505513604 has 24 divisors (see below), whose sum is σ = 948655102479840. Its totient is φ = 135354846178624.

The previous prime is 406315505513503. The next prime is 406315505513689.

406315505513604 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10456937169 + ... + 10456976024.

It is an arithmetic number, because the mean of its divisors is an integer number (39527295936660).

Almost surely, 2^{406315505513604} is an apocalyptic number.

It is an amenable number.

406315505513604 is an abundant number, since it is smaller than the sum of its proper divisors (542339596966236).

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

406315505513604 is a wasteful number, since it uses less digits than its factorization.

406315505513604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20913914819 (or 20913914817 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 406315505513604 in words is "four hundred six trillion, three hundred fifteen billion, five hundred five million, five hundred thirteen thousand, six hundred four".