5834322030240 has 1728 divisors, whose sum is σ = 23498617798656. Its totient is φ = 1365154560000.

The previous prime is 5834322030211. The next prime is 5834322030259. The reversal of 5834322030240 is 420302234385.

5834322030240 is a `hidden beast` number, since 5 + 8 + 343 + 2 + 2 + 0 + 302 + 4 + 0 = 666.

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 = 5834322030195 and 5834322030204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30546188545 + ... + 30546188735.

It is an arithmetic number, because the mean of its divisors is an integer number (13598737152).

Almost surely, 2^{5834322030240} 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 5834322030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11749308899328).

5834322030240 is an abundant number, since it is smaller than the sum of its proper divisors (17664295768416).

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

5834322030240 is a wasteful number, since it uses less digits than its factorization.

5834322030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 5834322030240 in words is "five trillion, eight hundred thirty-four billion, three hundred twenty-two million, thirty thousand, two hundred forty".