4109229072 has 240 divisors, whose sum is σ = 12796056000. Its totient is φ = 1223119872.

The previous prime is 4109229049. The next prime is 4109229079. The reversal of 4109229072 is 2709229014.

4109229072 is a `hidden beast` number, since 410 + 92 + 2 + 90 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4109229079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8234679 + ... + 8235177.

It is an arithmetic number, because the mean of its divisors is an integer number (53316900).

Almost surely, 2^4109229072 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 4109229072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398028000).

4109229072 is an abundant number, since it is smaller than the sum of its proper divisors (8686826928).

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

4109229072 is a wasteful number, since it uses less digits than its factorization.

4109229072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4109229072 is about 64103.2688090085. The cubic root of 4109229072 is about 1601.7206842818.

The spelling of 4109229072 in words is "four billion, one hundred nine million, two hundred twenty-nine thousand, seventy-two".