4981443667200 has 3456 divisors, whose sum is σ = 25343977881600. Its totient is φ = 923664384000.

The previous prime is 4981443667177. The next prime is 4981443667237. The reversal of 4981443667200 is 27663441894.

4981443667200 is a `hidden beast` number, since 49 + 81 + 443 + 6 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5362156336 + ... + 5362157264.

Almost surely, 2^{4981443667200} is an apocalyptic number.

4981443667200 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 4981443667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671988940800).

4981443667200 is an abundant number, since it is smaller than the sum of its proper divisors (20362534214400).

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

4981443667200 is a wasteful number, since it uses less digits than its factorization.

4981443667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4981443667200 in words is "four trillion, nine hundred eighty-one billion, four hundred forty-three million, six hundred sixty-seven thousand, two hundred".