4388640000 has 360 divisors, whose sum is σ = 15018592512. Its totient is φ = 1136640000.

The previous prime is 4388639999. The next prime is 4388640013. The reversal of 4388640000 is 468834.

It is a super-2 number, since 2×4388640000² = 38520322099200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19679889 + ... + 19680111.

Almost surely, 2^4388640000 is an apocalyptic number.

4388640000 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 4388640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509296256).

4388640000 is an abundant number, since it is smaller than the sum of its proper divisors (10629952512).

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

4388640000 is an equidigital number, since it uses as much as digits as its factorization.

4388640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4388640000 is about 66246.8112440139. The cubic root of 4388640000 is about 1637.2311001066.

The spelling of 4388640000 in words is "four billion, three hundred eighty-eight million, six hundred forty thousand".