4080406816 has 24 divisors (see below), whose sum is σ = 8382576384. Its totient is φ = 1951498560.

The previous prime is 4080406789. The next prime is 4080406817. The reversal of 4080406816 is 6186040804.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4080406817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2771280 + ... + 2772751.

It is an arithmetic number, because the mean of its divisors is an integer number (349274016).

Almost surely, 2^4080406816 is an apocalyptic number.

4080406816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4080406816 is an abundant number, since it is smaller than the sum of its proper divisors (4302169568).

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

4080406816 is a wasteful number, since it uses less digits than its factorization.

4080406816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544064 (or 5544056 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 4080406816 is about 63878.0620870734. The cubic root of 4080406816 is about 1597.9670555545.

The spelling of 4080406816 in words is "four billion, eighty million, four hundred six thousand, eight hundred sixteen".