4416145920 has 480 divisors, whose sum is σ = 16443947520. Its totient is φ = 1134673920.

The previous prime is 4416145907. The next prime is 4416145931. The reversal of 4416145920 is 295416144.

4416145920 is a `hidden beast` number, since 4 + 4 + 1 + 61 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19284366 + ... + 19284594.

It is an arithmetic number, because the mean of its divisors is an integer number (34258224).

Almost surely, 2^4416145920 is an apocalyptic number.

4416145920 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 4416145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221973760).

4416145920 is an abundant number, since it is smaller than the sum of its proper divisors (12027801600).

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

4416145920 is an equidigital number, since it uses as much as digits as its factorization.

4416145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 270 counting only the distinct ones).

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

The square root of 4416145920 is about 66454.0888132551. The cubic root of 4416145920 is about 1640.6444423492.

The spelling of 4416145920 in words is "four billion, four hundred sixteen million, one hundred forty-five thousand, nine hundred twenty".