4198969800 has 192 divisors, whose sum is σ = 14505321600. Its totient is φ = 1116460800.

The previous prime is 4198969799. The next prime is 4198969897. The reversal of 4198969800 is 89698914.

4198969800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272477 + ... + 2274323.

It is an arithmetic number, because the mean of its divisors is an integer number (75548550).

Almost surely, 2^4198969800 is an apocalyptic number.

4198969800 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 4198969800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252660800).

4198969800 is an abundant number, since it is smaller than the sum of its proper divisors (10306351800).

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

4198969800 is a wasteful number, since it uses less digits than its factorization.

4198969800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 4198969800 is about 64799.4583310694. The cubic root of 4198969800 is about 1613.2967182380.

The spelling of 4198969800 in words is "four billion, one hundred ninety-eight million, nine hundred sixty-nine thousand, eight hundred".