4961838000 has 320 divisors, whose sum is σ = 18663091200. Its totient is φ = 1133664000.

The previous prime is 4961837989. The next prime is 4961838017. The reversal of 4961838000 is 8381694.

It is a self number, because there is not a number n which added to its sum of digits gives 4961838000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056795 + ... + 2059205.

It is an arithmetic number, because the mean of its divisors is an integer number (58322160).

Almost surely, 2^4961838000 is an apocalyptic number.

4961838000 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 4961838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331545600).

4961838000 is an abundant number, since it is smaller than the sum of its proper divisors (13701253200).

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

4961838000 is a wasteful number, since it uses less digits than its factorization.

4961838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4961838000 is about 70440.3151611348. The cubic root of 4961838000 is about 1705.6144246856.

The spelling of 4961838000 in words is "four billion, nine hundred sixty-one million, eight hundred thirty-eight thousand".