4194312192 has 504 divisors, whose sum is σ = 14956237296. Its totient is φ = 1170505728.

The previous prime is 4194312181. The next prime is 4194312197. The reversal of 4194312192 is 2912134914.

4194312192 is a `hidden beast` number, since 4 + 1 + 9 + 431 + 219 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (4194312197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97542123 + ... + 97542165.

It is an arithmetic number, because the mean of its divisors is an integer number (29675074).

Almost surely, 2^4194312192 is an apocalyptic number.

4194312192 is a gapful number since it is divisible by the number (42) 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 4194312192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478118648).

4194312192 is an abundant number, since it is smaller than the sum of its proper divisors (10761925104).

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

4194312192 is an frugal number, since it uses more digits than its factorization.

4194312192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 55 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 4194312192 is about 64763.5097257707. The cubic root of 4194312192 is about 1612.6999937990.

The spelling of 4194312192 in words is "four billion, one hundred ninety-four million, three hundred twelve thousand, one hundred ninety-two".