4430385920 has 144 divisors (see below), whose sum is σ = 10993694880. Its totient is φ = 1709309952.

The previous prime is 4430385917. The next prime is 4430385931. The reversal of 4430385920 is 295830344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6582704 + ... + 6583376.

Almost surely, 2^4430385920 is an apocalyptic number.

4430385920 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 4430385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496847440).

4430385920 is an abundant number, since it is smaller than the sum of its proper divisors (6563308960).

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

4430385920 is a wasteful number, since it uses less digits than its factorization.

4430385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 4430385920 is about 66561.1442209342. The cubic root of 4430385920 is about 1642.4059866789.

The spelling of 4430385920 in words is "four billion, four hundred thirty million, three hundred eighty-five thousand, nine hundred twenty".