4073825808 has 120 divisors (see below), whose sum is σ = 12701608920. Its totient is φ = 1210245120.

The previous prime is 4073825801. The next prime is 4073825813. The reversal of 4073825808 is 8085283704.

It can be written as a sum of positive squares in 4 ways, for example, as 789160464 + 3284665344 = 28092^2 + 57312^2 .

It is not an unprimeable number, because it can be changed into a prime (4073825801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16768 + ... + 91808.

It is an arithmetic number, because the mean of its divisors is an integer number (105846741).

Almost surely, 2^4073825808 is an apocalyptic number.

4073825808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4073825808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350804460).

4073825808 is an abundant number, since it is smaller than the sum of its proper divisors (8627783112).

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

4073825808 is a wasteful number, since it uses less digits than its factorization.

4073825808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75097 (or 75088 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4073825808 is about 63826.5290298634. The cubic root of 4073825808 is about 1597.1075095044.

The spelling of 4073825808 in words is "four billion, seventy-three million, eight hundred twenty-five thousand, eight hundred eight".