4974144000 has 320 divisors, whose sum is σ = 18905432832. Its totient is φ = 1136640000.

The previous prime is 4974143987. The next prime is 4974144017. The reversal of 4974144000 is 4414794.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342150 + ... + 1345850.

Almost surely, 2^4974144000 is an apocalyptic number.

4974144000 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 4974144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452716416).

4974144000 is an abundant number, since it is smaller than the sum of its proper divisors (13931288832).

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

4974144000 is an equidigital number, since it uses as much as digits as its factorization.

4974144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4974144000 is about 70527.6116141756. The cubic root of 4974144000 is about 1707.0233087139.

Adding to 4974144000 its reverse (4414794), we get a palindrome (4978558794).

The spelling of 4974144000 in words is "four billion, nine hundred seventy-four million, one hundred forty-four thousand".