4840842240 has 264 divisors, whose sum is σ = 18065888568. Its totient is φ = 1191444480.

The previous prime is 4840842239. The next prime is 4840842247. The reversal of 4840842240 is 422480484.

4840842240 is a `hidden beast` number, since 4 + 8 + 408 + 4 + 2 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 4830806016 = 3168^2 + 69504^2 .

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 = 4840842195 and 4840842204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4840842247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595000 + ... + 603080.

Almost surely, 2^4840842240 is an apocalyptic number.

4840842240 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 4840842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032944284).

4840842240 is an abundant number, since it is smaller than the sum of its proper divisors (13225046328).

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

4840842240 is a wasteful number, since it uses less digits than its factorization.

4840842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4840842240 is about 69576.1614347903. The cubic root of 4840842240 is about 1691.6362244624.

The spelling of 4840842240 in words is "four billion, eight hundred forty million, eight hundred forty-two thousand, two hundred forty".