5206333440 has 768 divisors, whose sum is σ = 21737963520. Its totient is φ = 1032192000.

The previous prime is 5206333361. The next prime is 5206333441. The reversal of 5206333440 is 443336025.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5206333398 and 5206333407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206333441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 73328605 + ... + 73328675.

It is an arithmetic number, because the mean of its divisors is an integer number (28304640).

Almost surely, 2^5206333440 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 5206333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10868981760).

5206333440 is an abundant number, since it is smaller than the sum of its proper divisors (16531630080).

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

5206333440 is a wasteful number, since it uses less digits than its factorization.

5206333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 5206333440 is about 72154.9266509225. The cubic root of 5206333440 is about 1733.1812936991.

Adding to 5206333440 its reverse (443336025), we get a palindrome (5649669465).

The spelling of 5206333440 in words is "five billion, two hundred six million, three hundred thirty-three thousand, four hundred forty".