4191909120 has 432 divisors, whose sum is σ = 16721228160. Its totient is φ = 949764096.

The previous prime is 4191909109. The next prime is 4191909121. The reversal of 4191909120 is 219091914.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4191909121) 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, 18305166 + ... + 18305394.

Almost surely, 2^4191909120 is an apocalyptic number.

4191909120 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 4191909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360614080).

4191909120 is an abundant number, since it is smaller than the sum of its proper divisors (12529319040).

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

4191909120 is a wasteful number, since it uses less digits than its factorization.

4191909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 4191909120 is about 64744.9543980070. The cubic root of 4191909120 is about 1612.3919437236.

The spelling of 4191909120 in words is "four billion, one hundred ninety-one million, nine hundred nine thousand, one hundred twenty".