4098124800 has 1188 divisors, whose sum is σ = 19242700680. Its totient is φ = 851558400.

The previous prime is 4098124799. The next prime is 4098124813. The reversal of 4098124800 is 84218904.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4098124800 is a `hidden beast` number, since 409 + 8 + 1 + 248 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1188).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 372556795 + ... + 372556805.

Almost surely, 2^4098124800 is an apocalyptic number.

4098124800 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 4098124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9621350340).

4098124800 is an abundant number, since it is smaller than the sum of its proper divisors (15144575880).

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

4098124800 is a wasteful number, since it uses less digits than its factorization.

4098124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4098124800 is about 64016.5978477457. The cubic root of 4098124800 is about 1600.2766188402.

The spelling of 4098124800 in words is "four billion, ninety-eight million, one hundred twenty-four thousand, eight hundred".