4874310144 has 480 divisors, whose sum is σ = 16592045184. Its totient is φ = 1362493440.

The previous prime is 4874310137. The next prime is 4874310151. The reversal of 4874310144 is 4410134784.

It is a happy number.

4874310144 is a `hidden beast` number, since 4 + 87 + 431 + 0 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (4874310137) and next prime (4874310151).

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 = 4874310099 and 4874310108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43135432 + ... + 43135544.

Almost surely, 2^4874310144 is an apocalyptic number.

4874310144 is a gapful number since it is divisible by the number (44) 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 4874310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296022592).

4874310144 is an abundant number, since it is smaller than the sum of its proper divisors (11717735040).

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

4874310144 is a wasteful number, since it uses less digits than its factorization.

4874310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4874310144 is about 69816.2598826377. The cubic root of 4874310144 is about 1695.5257366209.

The spelling of 4874310144 in words is "four billion, eight hundred seventy-four million, three hundred ten thousand, one hundred forty-four".