4443934320 has 640 divisors, whose sum is σ = 19046400000. Its totient is φ = 929387520.

The previous prime is 4443934303. The next prime is 4443934333. The reversal of 4443934320 is 234393444.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8905431 + ... + 8905929.

It is an arithmetic number, because the mean of its divisors is an integer number (29760000).

Almost surely, 2^4443934320 is an apocalyptic number.

4443934320 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 4443934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523200000).

4443934320 is an abundant number, since it is smaller than the sum of its proper divisors (14602465680).

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

4443934320 is a wasteful number, since it uses less digits than its factorization.

4443934320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 4443934320 is about 66662.8406235438. The cubic root of 4443934320 is about 1644.0784767270.

The spelling of 4443934320 in words is "four billion, four hundred forty-three million, nine hundred thirty-four thousand, three hundred twenty".