4941258000 has 320 divisors, whose sum is σ = 18585715200. Its totient is φ = 1129430400.

The previous prime is 4941257987. The next prime is 4941258001. The reversal of 4941258000 is 8521494.

It is not an unprimeable number, because it can be changed into a prime (4941258001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 705893997 + ... + 705894003.

It is an arithmetic number, because the mean of its divisors is an integer number (58080360).

Almost surely, 2^4941258000 is an apocalyptic number.

4941258000 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 4941258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292857600).

4941258000 is an abundant number, since it is smaller than the sum of its proper divisors (13644457200).

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

4941258000 is an frugal number, since it uses more digits than its factorization.

4941258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 4941258000 is about 70294.0822544828. The cubic root of 4941258000 is about 1703.2530559944.

Adding to 4941258000 its reverse (8521494), we get a palindrome (4949779494).

The spelling of 4941258000 in words is "four billion, nine hundred forty-one million, two hundred fifty-eight thousand".