4824921049200 has 960 divisors, whose sum is σ = 20649018378240. Its totient is φ = 1046836224000.

The previous prime is 4824921049177. The next prime is 4824921049211. The reversal of 4824921049200 is 29401294284.

4824921049200 is a `hidden beast` number, since 48 + 24 + 92 + 10 + 492 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114664165 + ... + 114706235.

It is an arithmetic number, because the mean of its divisors is an integer number (21509394144).

Almost surely, 2^{4824921049200} is an apocalyptic number.

4824921049200 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 4824921049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324509189120).

4824921049200 is an abundant number, since it is smaller than the sum of its proper divisors (15824097329040).

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

4824921049200 is a wasteful number, since it uses less digits than its factorization.

4824921049200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42183 (or 42166 counting only the distinct ones).

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

The spelling of 4824921049200 in words is "four trillion, eight hundred twenty-four billion, nine hundred twenty-one million, forty-nine thousand, two hundred".