4098396800 has 96 divisors (see below), whose sum is σ = 10142431200. Its totient is φ = 1636428800.

The previous prime is 4098396787. The next prime is 4098396811. The reversal of 4098396800 is 86938904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3106541 + ... + 3107859.

It is an arithmetic number, because the mean of its divisors is an integer number (105650325).

Almost surely, 2^4098396800 is an apocalyptic number.

4098396800 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 4098396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071215600).

4098396800 is an abundant number, since it is smaller than the sum of its proper divisors (6044034400).

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

4098396800 is a wasteful number, since it uses less digits than its factorization.

4098396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 4098396800 is about 64018.7222615385. The cubic root of 4098396800 is about 1600.3120224806.

The spelling of 4098396800 in words is "four billion, ninety-eight million, three hundred ninety-six thousand, eight hundred".