406628965416959 has 8 divisors (see below), whose sum is σ = 406949491214208. Its totient is φ = 406308442909600.

The previous prime is 406628965416931. The next prime is 406628965416979. The reversal of 406628965416959 is 959614569826604.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-406628965416959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406628965416979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285786569 + ... + 287205885.

It is an arithmetic number, because the mean of its divisors is an integer number (50868686401776).

Almost surely, 2^{406628965416959} is an apocalyptic number.

406628965416959 is a deficient number, since it is larger than the sum of its proper divisors (320525797249).

406628965416959 is a wasteful number, since it uses less digits than its factorization.

406628965416959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644945.

The product of its (nonzero) digits is 6046617600, while the sum is 80.

The spelling of 406628965416959 in words is "four hundred six trillion, six hundred twenty-eight billion, nine hundred sixty-five million, four hundred sixteen thousand, nine hundred fifty-nine".