16384359240 has 320 divisors, whose sum is σ = 57181647600. Its totient is φ = 4204265472.

The previous prime is 16384359239. The next prime is 16384359241. The reversal of 16384359240 is 4295348361.

16384359240 is a `hidden beast` number, since 1 + 638 + 4 + 3 + 5 + 9 + 2 + 4 + 0 = 666.

16384359240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16384359239) and next prime (16384359241).

It can be written as a sum of positive squares in 8 ways, for example, as 4925513124 + 11458846116 = 70182^2 + 107046^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16384359241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11627656 + ... + 11629064.

Almost surely, 2^16384359240 is an apocalyptic number.

16384359240 is a gapful number since it is divisible by the number (10) 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 16384359240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28590823800).

16384359240 is an abundant number, since it is smaller than the sum of its proper divisors (40797288360).

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

16384359240 is a wasteful number, since it uses less digits than its factorization.

16384359240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 16384359240 in words is "sixteen billion, three hundred eighty-four million, three hundred fifty-nine thousand, two hundred forty".