4158019800 has 432 divisors, whose sum is σ = 16266224520. Its totient is φ = 947865600.

The previous prime is 4158019769. The next prime is 4158019837. The reversal of 4158019800 is 89108514.

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 (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3702039 + ... + 3703161.

Almost surely, 2^4158019800 is an apocalyptic number.

4158019800 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 4158019800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133112260).

4158019800 is an abundant number, since it is smaller than the sum of its proper divisors (12108204720).

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

4158019800 is a wasteful number, since it uses less digits than its factorization.

4158019800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 4158019800 is about 64482.7093103260. The cubic root of 4158019800 is about 1608.0350757181.

The spelling of 4158019800 in words is "four billion, one hundred fifty-eight million, nineteen thousand, eight hundred".