4458240000 has 600 divisors, whose sum is σ = 17027190180. Its totient is φ = 1161216000.

The previous prime is 4458239999. The next prime is 4458240011. The reversal of 4458240000 is 428544.

4458240000 is a `hidden beast` number, since 44 + 582 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103679979 + ... + 103680021.

Almost surely, 2^4458240000 is an apocalyptic number.

4458240000 is a gapful number since it is divisible by the number (40) 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 4458240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513595090).

4458240000 is an abundant number, since it is smaller than the sum of its proper divisors (12568950180).

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

4458240000 is an frugal number, since it uses more digits than its factorization.

4458240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4458240000 is about 66770.0531675691. The cubic root of 4458240000 is about 1645.8407640890.

Adding to 4458240000 its reverse (428544), we get a palindrome (4458668544).

The spelling of 4458240000 in words is "four billion, four hundred fifty-eight million, two hundred forty thousand".