4982494233600 has 1188 divisors, whose sum is σ = 19795030154172. Its totient is φ = 1196163072000.

The previous prime is 4982494233527. The next prime is 4982494233611. The reversal of 4982494233600 is 63324942894.

4982494233600 is a `hidden beast` number, since 4 + 9 + 8 + 2 + 4 + 9 + 4 + 23 + 3 + 600 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 4193779728384 + 788714505216 = 2047872^2 + 888096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1596440040 + ... + 1596443160.

Almost surely, 2^{4982494233600} is an apocalyptic number.

4982494233600 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 4982494233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9897515077086).

4982494233600 is an abundant number, since it is smaller than the sum of its proper divisors (14812535920572).

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

4982494233600 is a wasteful number, since it uses less digits than its factorization.

4982494233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 4982494233600 in words is "four trillion, nine hundred eighty-two billion, four hundred ninety-four million, two hundred thirty-three thousand, six hundred".