8442300240 has 480 divisors, whose sum is σ = 31866531840. Its totient is φ = 1985817600.

The previous prime is 8442300221. The next prime is 8442300253. The reversal of 8442300240 is 420032448.

It is a happy number.

8442300240 is a `hidden beast` number, since 84 + 42 + 300 + 240 = 666.

It is a super-3 number, since 3×8442300240³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64444975 + ... + 64445105.

It is an arithmetic number, because the mean of its divisors is an integer number (66388608).

Almost surely, 2^8442300240 is an apocalyptic number.

8442300240 is a gapful number since it is divisible by the number (80) 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 8442300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15933265920).

8442300240 is an abundant number, since it is smaller than the sum of its proper divisors (23424231600).

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

8442300240 is a wasteful number, since it uses less digits than its factorization.

8442300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 8442300240 is about 91881.9908360719. The cubic root of 8442300240 is about 2036.1992090634.

Adding to 8442300240 its reverse (420032448), we get a palindrome (8862332688).

It can be divided in two parts, 84 and 42300240, that added together give a palindrome (42300324).

The spelling of 8442300240 in words is "eight billion, four hundred forty-two million, three hundred thousand, two hundred forty".