5384010240 has 720 divisors, whose sum is σ = 22923220320. Its totient is φ = 1161216000.

The previous prime is 5384010239. The next prime is 5384010257. The reversal of 5384010240 is 420104835.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21450115 + ... + 21450365.

It is an arithmetic number, because the mean of its divisors is an integer number (31837806).

Almost surely, 2^5384010240 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 5384010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461610160).

5384010240 is an abundant number, since it is smaller than the sum of its proper divisors (17539210080).

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

5384010240 is a wasteful number, since it uses less digits than its factorization.

5384010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5384010240 is about 73375.8150891695. The cubic root of 5384010240 is about 1752.6772886496.

The spelling of 5384010240 in words is "five billion, three hundred eighty-four million, ten thousand, two hundred forty".