4080738816 has 720 divisors, whose sum is σ = 15718779648. Its totient is φ = 1006387200.

The previous prime is 4080738811. The next prime is 4080738901. The reversal of 4080738816 is 6188370804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080738811) 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 71 ways as a sum of consecutive naturals, for example, 76995046 + ... + 76995098.

Almost surely, 2^4080738816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859389824).

4080738816 is an abundant number, since it is smaller than the sum of its proper divisors (11638040832).

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

4080738816 is a wasteful number, since it uses less digits than its factorization.

4080738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4080738816 is about 63880.6607354683. The cubic root of 4080738816 is about 1598.0103936087.

The spelling of 4080738816 in words is "four billion, eighty million, seven hundred thirty-eight thousand, eight hundred sixteen".