4096444800 has 384 divisors, whose sum is σ = 15760419840. Its totient is φ = 915701760.

The previous prime is 4096444777. The next prime is 4096444829. The reversal of 4096444800 is 84446904.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3157752 + ... + 3159048.

It is an arithmetic number, because the mean of its divisors is an integer number (41042760).

Almost surely, 2^4096444800 is an apocalyptic number.

4096444800 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 4096444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880209920).

4096444800 is an abundant number, since it is smaller than the sum of its proper divisors (11663975040).

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

4096444800 is a wasteful number, since it uses less digits than its factorization.

4096444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 4096444800 is about 64003.4749056643. The cubic root of 4096444800 is about 1600.0579145703.

The spelling of 4096444800 in words is "four billion, ninety-six million, four hundred forty-four thousand, eight hundred".