406177776828 has 24 divisors (see below), whose sum is σ = 1053053495760. Its totient is φ = 135392592240.

The previous prime is 406177776821. The next prime is 406177776853. The reversal of 406177776828 is 828677771604.

406177776828 is a `hidden beast` number, since 4 + 0 + 617 + 7 + 7 + 7 + 6 + 8 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406177776821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1880452563 + ... + 1880452778.

It is an arithmetic number, because the mean of its divisors is an integer number (43877228990).

Almost surely, 2^406177776828 is an apocalyptic number.

It is an amenable number.

406177776828 is an abundant number, since it is smaller than the sum of its proper divisors (646875718932).

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

406177776828 is a wasteful number, since it uses less digits than its factorization.

406177776828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760905354 (or 3760905346 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 406177776828 in words is "four hundred six billion, one hundred seventy-seven million, seven hundred seventy-six thousand, eight hundred twenty-eight".