4067228160 has 480 divisors, whose sum is σ = 15341071680. Its totient is φ = 1021206528.

The previous prime is 4067228147. The next prime is 4067228171. The reversal of 4067228160 is 618227604.

4067228160 is a `hidden beast` number, since 406 + 72 + 28 + 160 = 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24952239 + ... + 24952401.

It is an arithmetic number, because the mean of its divisors is an integer number (31960566).

Almost surely, 2^4067228160 is an apocalyptic number.

4067228160 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 4067228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7670535840).

4067228160 is an abundant number, since it is smaller than the sum of its proper divisors (11273843520).

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

4067228160 is a wasteful number, since it uses less digits than its factorization.

4067228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4067228160 is about 63774.8238727478. The cubic root of 4067228160 is about 1596.2448603905.

The spelling of 4067228160 in words is "four billion, sixty-seven million, two hundred twenty-eight thousand, one hundred sixty".