4142080800 has 864 divisors, whose sum is σ = 17914478400. Its totient is φ = 920678400.

The previous prime is 4142080783. The next prime is 4142080819. The reversal of 4142080800 is 80802414.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27799126 + ... + 27799274.

It is an arithmetic number, because the mean of its divisors is an integer number (20734350).

Almost surely, 2^4142080800 is an apocalyptic number.

4142080800 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 4142080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957239200).

4142080800 is an abundant number, since it is smaller than the sum of its proper divisors (13772397600).

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

4142080800 is a wasteful number, since it uses less digits than its factorization.

4142080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4142080800 is about 64358.9993707174. Note that the first 3 decimals coincide. The cubic root of 4142080800 is about 1605.9777429716.

The spelling of 4142080800 in words is "four billion, one hundred forty-two million, eighty thousand, eight hundred".