4194364000 has 192 divisors, whose sum is σ = 10940529600. Its totient is φ = 1575936000.

The previous prime is 4194363991. The next prime is 4194364021. The reversal of 4194364000 is 4634914.

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 31 ways as a sum of consecutive naturals, for example, 17403880 + ... + 17404120.

It is an arithmetic number, because the mean of its divisors is an integer number (56981925).

Almost surely, 2^4194364000 is an apocalyptic number.

4194364000 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 4194364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470264800).

4194364000 is an abundant number, since it is smaller than the sum of its proper divisors (6746165600).

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

4194364000 is a wasteful number, since it uses less digits than its factorization.

4194364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 4194364000 is about 64763.9097028584. The cubic root of 4194364000 is about 1612.7066337766.

Adding to 4194364000 its reverse (4634914), we get a palindrome (4198998914).

The spelling of 4194364000 in words is "four billion, one hundred ninety-four million, three hundred sixty-four thousand".