4419472320 has 224 divisors, whose sum is σ = 16508577600. Its totient is φ = 1109164032.

The previous prime is 4419472259. The next prime is 4419472327. The reversal of 4419472320 is 232749144.

4419472320 is a `hidden beast` number, since 4 + 419 + 4 + 7 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4419472327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131836 + ... + 161924.

Almost surely, 2^4419472320 is an apocalyptic number.

4419472320 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 4419472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254288800).

4419472320 is an abundant number, since it is smaller than the sum of its proper divisors (12089105280).

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

4419472320 is a wasteful number, since it uses less digits than its factorization.

4419472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30132 (or 30116 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4419472320 is about 66479.1119074255. Note that the first 3 decimals coincide. The cubic root of 4419472320 is about 1641.0562697735.

The spelling of 4419472320 in words is "four billion, four hundred nineteen million, four hundred seventy-two thousand, three hundred twenty".