4194855000 has 640 divisors, whose sum is σ = 17454412800. Its totient is φ = 912384000.

The previous prime is 4194854987. The next prime is 4194855019. The reversal of 4194855000 is 5584914.

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 159 ways as a sum of consecutive naturals, for example, 21734904 + ... + 21735096.

It is an arithmetic number, because the mean of its divisors is an integer number (27272520).

Almost surely, 2^4194855000 is an apocalyptic number.

4194855000 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 4194855000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727206400).

4194855000 is an abundant number, since it is smaller than the sum of its proper divisors (13259557800).

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

4194855000 is a wasteful number, since it uses less digits than its factorization.

4194855000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4194855000 is about 64767.7002833974. The cubic root of 4194855000 is about 1612.7695601274.

The spelling of 4194855000 in words is "four billion, one hundred ninety-four million, eight hundred fifty-five thousand".