4080340800 has 252 divisors, whose sum is σ = 14592726720. Its totient is φ = 1081328640.

The previous prime is 4080340751. The next prime is 4080340853. The reversal of 4080340800 is 80430804.

It is a congruent number.

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, 2576809 + ... + 2578391.

Almost surely, 2^4080340800 is an apocalyptic number.

4080340800 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 4080340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296363360).

4080340800 is an abundant number, since it is smaller than the sum of its proper divisors (10512385920).

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

4080340800 is a wasteful number, since it uses less digits than its factorization.

4080340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4080340800 is about 63877.5453504594. The cubic root of 4080340800 is about 1597.9584377895.

The spelling of 4080340800 in words is "four billion, eighty million, three hundred forty thousand, eight hundred".