4900024960000 has 165 divisors, whose sum is σ = 12244588039299. Its totient is φ = 1959301632000.

The previous prime is 4900024959961. The next prime is 4900024960003. The reversal of 4900024960000 is 694200094.

The square root of 4900024960000 is 2213600.

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

It can be written as a sum of positive squares in 2 ways, for example, as 384161956864 + 4515863003136 = 619808^2 + 2125056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4900024960003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1770878617 + ... + 1770881383.

Almost surely, 2^{4900024960000} is an apocalyptic number.

4900024960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4900024960000 is the 2213600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4900024960000

4900024960000 is an abundant number, since it is smaller than the sum of its proper divisors (7344563079299).

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

4900024960000 is an frugal number, since it uses more digits than its factorization.

4900024960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 4900024960000 in words is "four trillion, nine hundred billion, twenty-four million, nine hundred sixty thousand".