4966691839200 has 1440 divisors, whose sum is σ = 22371120281664. Its totient is φ = 1044218511360.

The previous prime is 4966691839117. The next prime is 4966691839237. The reversal of 4966691839200 is 29381966694.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1869284272 + ... + 1869286928.

Almost surely, 2^{4966691839200} is an apocalyptic number.

4966691839200 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 4966691839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11185560140832).

4966691839200 is an abundant number, since it is smaller than the sum of its proper divisors (17404428442464).

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

4966691839200 is a wasteful number, since it uses less digits than its factorization.

4966691839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 4966691839200 in words is "four trillion, nine hundred sixty-six billion, six hundred ninety-one million, eight hundred thirty-nine thousand, two hundred".