4984212240 has 960 divisors, whose sum is σ = 21987164160. Its totient is φ = 985374720.

The previous prime is 4984212229. The next prime is 4984212301. The reversal of 4984212240 is 422124894.

4984212240 is a `hidden beast` number, since 4 + 9 + 8 + 421 + 224 + 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 = 4984212195 and 4984212204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68276844 + ... + 68276916.

It is an arithmetic number, because the mean of its divisors is an integer number (22903296).

Almost surely, 2^4984212240 is an apocalyptic number.

4984212240 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 4984212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10993582080).

4984212240 is an abundant number, since it is smaller than the sum of its proper divisors (17002951920).

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

4984212240 is a wasteful number, since it uses less digits than its factorization.

4984212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4984212240 is about 70598.9535333209. The cubic root of 4984212240 is about 1708.1742697243.

The spelling of 4984212240 in words is "four billion, nine hundred eighty-four million, two hundred twelve thousand, two hundred forty".