4381380864 has 243 divisors, whose sum is σ = 14770039557. Its totient is φ = 1245468672.

The previous prime is 4381380859. The next prime is 4381380869. The reversal of 4381380864 is 4680831834.

The square root of 4381380864 is 66192.

It is a perfect power (a square), and thus also a powerful number.

4381380864 is a `hidden beast` number, since 438 + 138 + 0 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4381380859) and next prime (4381380869).

It can be written as a sum of positive squares in only one way, i.e., 4292870400 + 88510464 = 65520^2 + 9408^2 .

It is not an unprimeable number, because it can be changed into a prime (4381380869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22240414 + ... + 22240610.

Almost surely, 2^4381380864 is an apocalyptic number.

4381380864 is the 66192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4381380864

4381380864 is an abundant number, since it is smaller than the sum of its proper divisors (10388658693).

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

4381380864 is an equidigital number, since it uses as much as digits as its factorization.

4381380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The cubic root of 4381380864 is about 1636.3279013880.

The spelling of 4381380864 in words is "four billion, three hundred eighty-one million, three hundred eighty thousand, eight hundred sixty-four".