4419921168 has 280 divisors, whose sum is σ = 14010756032. Its totient is φ = 1342013184.

The previous prime is 4419921161. The next prime is 4419921179. The reversal of 4419921168 is 8611299144.

It is a happy number.

4419921168 is a `hidden beast` number, since 441 + 9 + 92 + 116 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4419921161) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 15617955 + ... + 15618237.

Almost surely, 2^4419921168 is an apocalyptic number.

4419921168 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 4419921168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005378016).

4419921168 is an abundant number, since it is smaller than the sum of its proper divisors (9590834864).

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

4419921168 is a wasteful number, since it uses less digits than its factorization.

4419921168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 404 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 4419921168 is about 66482.4876790873. The cubic root of 4419921168 is about 1641.1118239089. Note that the first 3 decimals are identical.

The spelling of 4419921168 in words is "four billion, four hundred nineteen million, nine hundred twenty-one thousand, one hundred sixty-eight".