4194533376 has 256 divisors, whose sum is σ = 13589337600. Its totient is φ = 1268121600.

The previous prime is 4194533351. The next prime is 4194533389. The reversal of 4194533376 is 6733354914.

4194533376 is a `hidden beast` number, since 41 + 9 + 4 + 533 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×4194533376³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9731881 + ... + 9732311.

It is an arithmetic number, because the mean of its divisors is an integer number (53083350).

Almost surely, 2^4194533376 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 4194533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794668800).

4194533376 is an abundant number, since it is smaller than the sum of its proper divisors (9394804224).

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

4194533376 is an equidigital number, since it uses as much as digits as its factorization.

4194533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 447 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 4194533376 is about 64765.2173315276. The cubic root of 4194533376 is about 1612.7283414874.

The spelling of 4194533376 in words is "four billion, one hundred ninety-four million, five hundred thirty-three thousand, three hundred seventy-six".