4221948960 has 192 divisors, whose sum is σ = 15554851200. Its totient is φ = 1066576896.

The previous prime is 4221948923. The next prime is 4221948971. The reversal of 4221948960 is 698491224.

4221948960 is a `hidden beast` number, since 422 + 1 + 94 + 89 + 60 = 666.

4221948960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56362 + ... + 107798.

It is an arithmetic number, because the mean of its divisors is an integer number (81014850).

Almost surely, 2^4221948960 is an apocalyptic number.

4221948960 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 4221948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777425600).

4221948960 is an abundant number, since it is smaller than the sum of its proper divisors (11332902240).

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

4221948960 is a wasteful number, since it uses less digits than its factorization.

4221948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51480 (or 51466 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4221948960 is about 64976.5262229368. The cubic root of 4221948960 is about 1616.2343262136.

The spelling of 4221948960 in words is "four billion, two hundred twenty-one million, nine hundred forty-eight thousand, nine hundred sixty".