4409385120 has 384 divisors, whose sum is σ = 18053038080. Its totient is φ = 984130560.

The previous prime is 4409385107. The next prime is 4409385121. The reversal of 4409385120 is 215839044.

4409385120 is a `hidden beast` number, since 440 + 93 + 8 + 5 + 120 = 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 (4409385121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1298625 + ... + 1302015.

It is an arithmetic number, because the mean of its divisors is an integer number (47013120).

Almost surely, 2^4409385120 is an apocalyptic number.

4409385120 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 4409385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026519040).

4409385120 is an abundant number, since it is smaller than the sum of its proper divisors (13643652960).

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

4409385120 is a wasteful number, since it uses less digits than its factorization.

4409385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4409385120 is about 66403.2011276565. The cubic root of 4409385120 is about 1639.8067787430.

The spelling of 4409385120 in words is "four billion, four hundred nine million, three hundred eighty-five thousand, one hundred twenty".