4109059920 has 320 divisors, whose sum is σ = 15135031296. Its totient is φ = 902430720.

The previous prime is 4109059907. The next prime is 4109059921. The reversal of 4109059920 is 299509014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4109059921) 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 63 ways as a sum of consecutive naturals, for example, 13384407 + ... + 13384713.

Almost surely, 2^4109059920 is an apocalyptic number.

4109059920 is a gapful number since it is divisible by the number (40) 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 4109059920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567515648).

4109059920 is an abundant number, since it is smaller than the sum of its proper divisors (11025971376).

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

4109059920 is a wasteful number, since it uses less digits than its factorization.

4109059920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 4109059920 is about 64101.9494243350. The cubic root of 4109059920 is about 1601.6987062765.

The spelling of 4109059920 in words is "four billion, one hundred nine million, fifty-nine thousand, nine hundred twenty".