5328361440 has 240 divisors, whose sum is σ = 18909186912. Its totient is φ = 1413006336.

The previous prime is 5328361439. The next prime is 5328361457. The reversal of 5328361440 is 441638235.

5328361440 is a `hidden beast` number, since 5 + 32 + 8 + 3 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5328361395 and 5328361404.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2552077 + ... + 2554163.

Almost surely, 2^5328361440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5328361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454593456).

5328361440 is an abundant number, since it is smaller than the sum of its proper divisors (13580825472).

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

5328361440 is a wasteful number, since it uses less digits than its factorization.

5328361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5328361440 is about 72995.6261703398. The cubic root of 5328361440 is about 1746.6178420657.

Adding to 5328361440 its reverse (441638235), we get a palindrome (5769999675).

The spelling of 5328361440 in words is "five billion, three hundred twenty-eight million, three hundred sixty-one thousand, four hundred forty".