4384005120 has 660 divisors, whose sum is σ = 17708629752. Its totient is φ = 1028505600.

The previous prime is 4384005107. The next prime is 4384005127. The reversal of 4384005120 is 215004834.

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4384005127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 141419505 + ... + 141419535.

Almost surely, 2^4384005120 is an apocalyptic number.

4384005120 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 4384005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854314876).

4384005120 is an abundant number, since it is smaller than the sum of its proper divisors (13324624632).

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

4384005120 is a wasteful number, since it uses less digits than its factorization.

4384005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4384005120 is about 66211.8200927901. The cubic root of 4384005120 is about 1636.6545325268.

Adding to 4384005120 its reverse (215004834), we get a palindrome (4599009954).

The spelling of 4384005120 in words is "four billion, three hundred eighty-four million, five thousand, one hundred twenty".