4198348800 has 288 divisors, whose sum is σ = 15426356400. Its totient is φ = 1119191040.

The previous prime is 4198348799. The next prime is 4198348811. The reversal of 4198348800 is 88438914.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4198348800² = 35252265292922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1380882 + ... + 1383918.

Almost surely, 2^4198348800 is an apocalyptic number.

4198348800 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 4198348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713178200).

4198348800 is an abundant number, since it is smaller than the sum of its proper divisors (11228007600).

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

4198348800 is a wasteful number, since it uses less digits than its factorization.

4198348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4198348800 is about 64794.6664471699. Note that the first 3 decimals coincide. The cubic root of 4198348800 is about 1613.2171823277.

The spelling of 4198348800 in words is "four billion, one hundred ninety-eight million, three hundred forty-eight thousand, eight hundred".