4098987200 has 420 divisors, whose sum is σ = 12968383512. Its totient is φ = 1264435200.

The previous prime is 4098987187. The next prime is 4098987209. The reversal of 4098987200 is 27898904.

It is not an unprimeable number, because it can be changed into a prime (4098987209) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 42257552 + ... + 42257648.

Almost surely, 2^4098987200 is an apocalyptic number.

4098987200 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 4098987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484191756).

4098987200 is an abundant number, since it is smaller than the sum of its proper divisors (8869396312).

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

4098987200 is an equidigital number, since it uses as much as digits as its factorization.

4098987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 4098987200 is about 64023.3332465594. Note that the first 3 decimals coincide. The cubic root of 4098987200 is about 1600.3888638163.

The spelling of 4098987200 in words is "four billion, ninety-eight million, nine hundred eighty-seven thousand, two hundred".