4098384875520 has 936 divisors, whose sum is σ = 15762929789880. Its totient is φ = 983920803840.

The previous prime is 4098384875423. The next prime is 4098384875531. The reversal of 4098384875520 is 255784838904.

4098384875520 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 38 + 4 + 8 + 75 + 520 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3269789761536 + 828595113984 = 1808256^2 + 910272^2 .

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1277151676 + ... + 1277154884.

It is an arithmetic number, because the mean of its divisors is an integer number (16840736955).

Almost surely, 2^{4098384875520} is an apocalyptic number.

4098384875520 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 4098384875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881464894940).

4098384875520 is an abundant number, since it is smaller than the sum of its proper divisors (11664544914360).

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

4098384875520 is a wasteful number, since it uses less digits than its factorization.

4098384875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 4098384875520 in words is "four trillion, ninety-eight billion, three hundred eighty-four million, eight hundred seventy-five thousand, five hundred twenty".