4109398272 has 216 divisors, whose sum is σ = 14044046016. Its totient is φ = 1173989376.

The previous prime is 4109398259. The next prime is 4109398277. The reversal of 4109398272 is 2728939014.

4109398272 is a `hidden beast` number, since 410 + 93 + 9 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (4109398277) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 430738 + ... + 440174.

Almost surely, 2^4109398272 is an apocalyptic number.

4109398272 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 4109398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022023008).

4109398272 is an abundant number, since it is smaller than the sum of its proper divisors (9934647744).

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

4109398272 is an frugal number, since it uses more digits than its factorization.

4109398272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4109398272 is about 64104.5885409149. The cubic root of 4109398272 is about 1601.7426679204.

The spelling of 4109398272 in words is "four billion, one hundred nine million, three hundred ninety-eight thousand, two hundred seventy-two".