4640440320 has 256 divisors, whose sum is σ = 16514820000. Its totient is φ = 1236271104.

The previous prime is 4640440297. The next prime is 4640440333. The reversal of 4640440320 is 230440464.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4423156 + ... + 4424204.

Almost surely, 2^4640440320 is an apocalyptic number.

4640440320 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 4640440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257410000).

4640440320 is an abundant number, since it is smaller than the sum of its proper divisors (11874379680).

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

4640440320 is an equidigital number, since it uses as much as digits as its factorization.

4640440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4640440320 is about 68120.7774471196. Note that the first 3 decimals coincide. The cubic root of 4640440320 is about 1667.9629410534.

Adding to 4640440320 its reverse (230440464), we get a palindrome (4870880784).

The spelling of 4640440320 in words is "four billion, six hundred forty million, four hundred forty thousand, three hundred twenty".