4218376960 has 288 divisors, whose sum is σ = 12362112000. Its totient is φ = 1347010560.

The previous prime is 4218376933. The next prime is 4218376969. The reversal of 4218376960 is 696738124.

It is a self number, because there is not a number n which added to its sum of digits gives 4218376960.

It is not an unprimeable number, because it can be changed into a prime (4218376969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12086866 + ... + 12087214.

It is an arithmetic number, because the mean of its divisors is an integer number (42924000).

Almost surely, 2^4218376960 is an apocalyptic number.

4218376960 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 4218376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056000).

4218376960 is an abundant number, since it is smaller than the sum of its proper divisors (8143735040).

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

4218376960 is a wasteful number, since it uses less digits than its factorization.

4218376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 4218376960 is about 64949.0335570900. The cubic root of 4218376960 is about 1615.7783900272.

The spelling of 4218376960 in words is "four billion, two hundred eighteen million, three hundred seventy-six thousand, nine hundred sixty".