4076218368 has 288 divisors, whose sum is σ = 12461248800. Its totient is φ = 1281982464.

The previous prime is 4076218357. The next prime is 4076218381. The reversal of 4076218368 is 8638126704.

4076218368 is a `hidden beast` number, since 4 + 0 + 76 + 218 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29325243 + ... + 29325381.

It is an arithmetic number, because the mean of its divisors is an integer number (43268225).

Almost surely, 2^4076218368 is an apocalyptic number.

4076218368 is a gapful number since it is divisible by the number (48) 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 4076218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230624400).

4076218368 is an abundant number, since it is smaller than the sum of its proper divisors (8385030432).

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

4076218368 is a wasteful number, since it uses less digits than its factorization.

4076218368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4076218368 is about 63845.2689554990. The cubic root of 4076218368 is about 1597.4201090040.

The spelling of 4076218368 in words is "four billion, seventy-six million, two hundred eighteen thousand, three hundred sixty-eight".