4080804000 has 768 divisors, whose sum is σ = 17065810944. Its totient is φ = 829440000.

The previous prime is 4080803989. The next prime is 4080804011. The reversal of 4080804000 is 4080804.

It is an interprime number because it is at equal distance from previous prime (4080803989) and next prime (4080804011).

It is a super-2 number, since 2×4080804000² = 33305922572832000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 40403950 + ... + 40404050.

It is an arithmetic number, because the mean of its divisors is an integer number (22221108).

Almost surely, 2^4080804000 is an apocalyptic number.

4080804000 is a gapful number since it is divisible by the number (40) 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 4080804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532905472).

4080804000 is an abundant number, since it is smaller than the sum of its proper divisors (12985006944).

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

4080804000 is a wasteful number, since it uses less digits than its factorization.

4080804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4080804000 is about 63881.1709347911. The cubic root of 4080804000 is about 1598.0189022113.

Adding to 4080804000 its reverse (4080804), we get a palindrome (4084884804).

4080804000 divided by its reverse (4080804) gives a cube (1000 = 10³).

The spelling of 4080804000 in words is "four billion, eighty million, eight hundred four thousand".