4917440000 has 300 divisors, whose sum is σ = 13601546112. Its totient is φ = 1774080000.

The previous prime is 4917439999. The next prime is 4917440029. The reversal of 4917440000 is 447194.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 38719937 + ... + 38720063.

Almost surely, 2^4917440000 is an apocalyptic number.

4917440000 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 4917440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800773056).

4917440000 is an abundant number, since it is smaller than the sum of its proper divisors (8684106112).

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

4917440000 is an equidigital number, since it uses as much as digits as its factorization.

4917440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 4917440000 is about 70124.4607822406. The cubic root of 4917440000 is about 1700.5119565350.

Adding to 4917440000 its reverse (447194), we get a palindrome (4917887194).

The spelling of 4917440000 in words is "four billion, nine hundred seventeen million, four hundred forty thousand".