4397440320 has 1344 divisors, whose sum is σ = 21015106560. Its totient is φ = 854654976.

The previous prime is 4397440319. The next prime is 4397440331. The reversal of 4397440320 is 230447934.

It is a tau number, because it is divible by the number of its divisors (1344).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93562537 + ... + 93562583.

It is an arithmetic number, because the mean of its divisors is an integer number (15636240).

Almost surely, 2^4397440320 is an apocalyptic number.

4397440320 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 4397440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10507553280).

4397440320 is an abundant number, since it is smaller than the sum of its proper divisors (16617666240).

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

4397440320 is a wasteful number, since it uses less digits than its factorization.

4397440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4397440320 is about 66313.1986862344. The cubic root of 4397440320 is about 1638.3247219467.

The spelling of 4397440320 in words is "four billion, three hundred ninety-seven million, four hundred forty thousand, three hundred twenty".