4990309210000 has 225 divisors, whose sum is σ = 12268192666213. Its totient is φ = 1965832000000.

The previous prime is 4990309209833. The next prime is 4990309210009. The reversal of 4990309210000 is 129030994.

The square root of 4990309210000 is 2233900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4847799939984 + 142509270016 = 2201772^2 + 377504^2 .

It is a super-2 number, since 2×4990309210000² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4990309210009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19881709875 + ... + 19881710125.

Almost surely, 2^{4990309210000} is an apocalyptic number.

4990309210000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4990309210000 is the 2233900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4990309210000

4990309210000 is an abundant number, since it is smaller than the sum of its proper divisors (7277883456213).

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

4990309210000 is an frugal number, since it uses more digits than its factorization.

4990309210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 4990309210000 in words is "four trillion, nine hundred ninety billion, three hundred nine million, two hundred ten thousand".