406628965416961 has 16 divisors (see below), whose sum is σ = 465205845734784. Its totient is φ = 348174021176064.

The previous prime is 406628965416931. The next prime is 406628965416979. The reversal of 406628965416961 is 169614569826604.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 406628965416961 - 2¹⁵ = 406628965384193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406628965416931) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19801881 + ... + 34718473.

It is an arithmetic number, because the mean of its divisors is an integer number (29075365358424).

Almost surely, 2^{406628965416961} is an apocalyptic number.

It is an amenable number.

406628965416961 is a deficient number, since it is larger than the sum of its proper divisors (58576880317823).

406628965416961 is a wasteful number, since it uses less digits than its factorization.

406628965416961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14920680.

The product of its (nonzero) digits is 806215680, while the sum is 73.

The spelling of 406628965416961 in words is "four hundred six trillion, six hundred twenty-eight billion, nine hundred sixty-five million, four hundred sixteen thousand, nine hundred sixty-one".