406576478961 has 12 divisors (see below), whose sum is σ = 589051391760. Its totient is φ = 270232098840.

The previous prime is 406576478953. The next prime is 406576478981. The reversal of 406576478961 is 169874675604.

It is a happy number.

406576478961 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 76 + 478 + 96 + 1 = 666.

It is not a de Polignac number, because 406576478961 - 2³ = 406576478953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406576478921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68237451 + ... + 68243408.

It is an arithmetic number, because the mean of its divisors is an integer number (49087615980).

Almost surely, 2^406576478961 is an apocalyptic number.

It is an amenable number.

406576478961 is a deficient number, since it is larger than the sum of its proper divisors (182474912799).

406576478961 is a wasteful number, since it uses less digits than its factorization.

406576478961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136481196 (or 136481193 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 406576478961 in words is "four hundred six billion, five hundred seventy-six million, four hundred seventy-eight thousand, nine hundred sixty-one".