4923197722800 has 1200 divisors, whose sum is σ = 20704194846720. Its totient is φ = 1097140101120.

The previous prime is 4923197722789. The next prime is 4923197722811. The reversal of 4923197722800 is 82277913294.

It is a happy number.

4923197722800 is a `hidden beast` number, since 49 + 2 + 319 + 7 + 7 + 2 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4923197722789) and next prime (4923197722811).

It is a tau number, because it is divible by the number of its divisors (1200).

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

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, 1699410952 + ... + 1699413848.

Almost surely, 2^{4923197722800} is an apocalyptic number.

4923197722800 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 4923197722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352097423360).

4923197722800 is an abundant number, since it is smaller than the sum of its proper divisors (15780997123920).

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

4923197722800 is a wasteful number, since it uses less digits than its factorization.

4923197722800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 4923197722800 in words is "four trillion, nine hundred twenty-three billion, one hundred ninety-seven million, seven hundred twenty-two thousand, eight hundred".