4921209820800 has 3840 divisors, whose sum is σ = 23996797440000. Its totient is φ = 964233953280.

The previous prime is 4921209820771. The next prime is 4921209820801. The reversal of 4921209820800 is 80289021294.

It is a happy number.

4921209820800 is a `hidden beast` number, since 492 + 1 + 2 + 0 + 9 + 82 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×4921209820800² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4921209820801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 35404387131 + ... + 35404387269.

It is an arithmetic number, because the mean of its divisors is an integer number (6249166000).

Almost surely, 2^{4921209820800} is an apocalyptic number.

4921209820800 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 4921209820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11998398720000).

4921209820800 is an abundant number, since it is smaller than the sum of its proper divisors (19075587619200).

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

4921209820800 is a wasteful number, since it uses less digits than its factorization.

4921209820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 4921209820800 in words is "four trillion, nine hundred twenty-one billion, two hundred nine million, eight hundred twenty thousand, eight hundred".