4842661075200 has 648 divisors, whose sum is σ = 19336074092608. Its totient is φ = 1192034672640.

The previous prime is 4842661075193. The next prime is 4842661075211. The reversal of 4842661075200 is 25701662484.

4842661075200 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 6 + 610 + 7 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20097837 + ... + 20337363.

Almost surely, 2^{4842661075200} is an apocalyptic number.

4842661075200 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 4842661075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668037046304).

4842661075200 is an abundant number, since it is smaller than the sum of its proper divisors (14493413017408).

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

4842661075200 is a wasteful number, since it uses less digits than its factorization.

4842661075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239581 (or 239550 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4842661075200 in words is "four trillion, eight hundred forty-two billion, six hundred sixty-one million, seventy-five thousand, two hundred".