4941658000 has 80 divisors (see below), whose sum is σ = 12361106160. Its totient is φ = 1908480000.

The previous prime is 4941657991. The next prime is 4941658003. The reversal of 4941658000 is 8561494.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1272206224 + 3669451776 = 35668^2 + 60576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4941658003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15400 + ... + 100600.

It is an arithmetic number, because the mean of its divisors is an integer number (154513827).

Almost surely, 2^4941658000 is an apocalyptic number.

4941658000 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 4941658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180553080).

4941658000 is an abundant number, since it is smaller than the sum of its proper divisors (7419448160).

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

4941658000 is a wasteful number, since it uses less digits than its factorization.

4941658000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85253 (or 85237 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 4941658000 is about 70296.9273866220. The cubic root of 4941658000 is about 1703.2990147927.

It can be divided in two parts, 49416 and 58000, that added together give a triangular number (107416 = T₄₆₃).

The spelling of 4941658000 in words is "four billion, nine hundred forty-one million, six hundred fifty-eight thousand".