4982061232800 has 648 divisors, whose sum is σ = 18280255793436. Its totient is φ = 1325821685760.

The previous prime is 4982061232789. The next prime is 4982061232823. The reversal of 4982061232800 is 82321602894.

4982061232800 is a `hidden beast` number, since 4 + 9 + 8 + 2 + 0 + 612 + 3 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 76527504 + 4981984705296 = 8748^2 + 2232036^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4918125094 + ... + 4918126106.

Almost surely, 2^{4982061232800} is an apocalyptic number.

4982061232800 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 4982061232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140127896718).

4982061232800 is an abundant number, since it is smaller than the sum of its proper divisors (13298194560636).

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

4982061232800 is an equidigital number, since it uses as much as digits as its factorization.

4982061232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4982061232800 in words is "four trillion, nine hundred eighty-two billion, sixty-one million, two hundred thirty-two thousand, eight hundred".