4080844800 has 540 divisors, whose sum is σ = 15529198776. Its totient is φ = 1061683200.

The previous prime is 4080844783. The next prime is 4080844813. The reversal of 4080844800 is 84480804.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99532780 + ... + 99532820.

Almost surely, 2^4080844800 is an apocalyptic number.

4080844800 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 4080844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764599388).

4080844800 is an abundant number, since it is smaller than the sum of its proper divisors (11448353976).

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

4080844800 is an frugal number, since it uses more digits than its factorization.

4080844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4080844800 is about 63881.4902769182. The cubic root of 4080844800 is about 1598.0242278737.

The spelling of 4080844800 in words is "four billion, eighty million, eight hundred forty-four thousand, eight hundred".