406766677772 has 48 divisors (see below), whose sum is σ = 879208872192. Its totient is φ = 160350027840.

The previous prime is 406766677753. The next prime is 406766677819. The reversal of 406766677772 is 277776667604.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 406766677699 and 406766677708.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1871354 + ... + 2077377.

It is an arithmetic number, because the mean of its divisors is an integer number (18316851504).

Almost surely, 2^406766677772 is an apocalyptic number.

It is an amenable number.

406766677772 is an abundant number, since it is smaller than the sum of its proper divisors (472442194420).

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

406766677772 is a wasteful number, since it uses less digits than its factorization.

406766677772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949038 (or 3949036 counting only the distinct ones).

The product of its (nonzero) digits is 174254976, while the sum is 65.

The spelling of 406766677772 in words is "four hundred six billion, seven hundred sixty-six million, six hundred seventy-seven thousand, seven hundred seventy-two".