4194386304 has 256 divisors, whose sum is σ = 12055910400. Its totient is φ = 1289502720.

The previous prime is 4194386303. The next prime is 4194386309. The reversal of 4194386304 is 4036834914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194386303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39199819 + ... + 39199925.

It is an arithmetic number, because the mean of its divisors is an integer number (47093400).

Almost surely, 2^4194386304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4194386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027955200).

4194386304 is an abundant number, since it is smaller than the sum of its proper divisors (7861524096).

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

4194386304 is a wasteful number, since it uses less digits than its factorization.

4194386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4194386304 is about 64764.0818972986. The cubic root of 4194386304 is about 1612.7094923542.

The spelling of 4194386304 in words is "four billion, one hundred ninety-four million, three hundred eighty-six thousand, three hundred four".