4198118400 has 792 divisors, whose sum is σ = 18214697280. Its totient is φ = 902430720.

The previous prime is 4198118369. The next prime is 4198118417. The reversal of 4198118400 is 48118914.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 30643132 + ... + 30643268.

Almost surely, 2^4198118400 is an apocalyptic number.

4198118400 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 4198118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9107348640).

4198118400 is an abundant number, since it is smaller than the sum of its proper divisors (14016578880).

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

4198118400 is a wasteful number, since it uses less digits than its factorization.

4198118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 4198118400 is about 64792.8884986616. Note that the first 3 decimals coincide. The cubic root of 4198118400 is about 1613.1876713576.

The spelling of 4198118400 in words is "four billion, one hundred ninety-eight million, one hundred eighteen thousand, four hundred".