4198857600 has 192 divisors, whose sum is σ = 15805952640. Its totient is φ = 959723520.

The previous prime is 4198857587. The next prime is 4198857623. The reversal of 4198857600 is 67588914.

4198857600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4198857600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35959 + ... + 98441.

It is an arithmetic number, because the mean of its divisors is an integer number (82322670).

Almost surely, 2^4198857600 is an apocalyptic number.

4198857600 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 4198857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902976320).

4198857600 is an abundant number, since it is smaller than the sum of its proper divisors (11607095040).

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

4198857600 is a wasteful number, since it uses less digits than its factorization.

4198857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62517 (or 62500 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 4198857600 is about 64798.5925773083. The cubic root of 4198857600 is about 1613.2823485622.

The spelling of 4198857600 in words is "four billion, one hundred ninety-eight million, eight hundred fifty-seven thousand, six hundred".