4224908160 has 640 divisors, whose sum is σ = 17061580800. Its totient is φ = 987033600.

The previous prime is 4224908141. The next prime is 4224908173. The reversal of 4224908160 is 618094224.

4224908160 is a `hidden beast` number, since 4 + 2 + 2 + 490 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17677321 + ... + 17677559.

It is an arithmetic number, because the mean of its divisors is an integer number (26658720).

Almost surely, 2^4224908160 is an apocalyptic number.

4224908160 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 4224908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530790400).

4224908160 is an abundant number, since it is smaller than the sum of its proper divisors (12836672640).

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

4224908160 is a wasteful number, since it uses less digits than its factorization.

4224908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4224908160 is about 64999.2935346224. The cubic root of 4224908160 is about 1616.6118488280.

The spelling of 4224908160 in words is "four billion, two hundred twenty-four million, nine hundred eight thousand, one hundred sixty".