4942858291200 has 576 divisors, whose sum is σ = 18289220040000. Its totient is φ = 1308424273920.

The previous prime is 4942858291193. The next prime is 4942858291213. The reversal of 4942858291200 is 21928582494.

4942858291200 is a `hidden beast` number, since 4 + 9 + 42 + 8 + 582 + 9 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189375751 + ... + 189401849.

It is an arithmetic number, because the mean of its divisors is an integer number (31752118125).

Almost surely, 2^{4942858291200} is an apocalyptic number.

4942858291200 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 4942858291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144610020000).

4942858291200 is an abundant number, since it is smaller than the sum of its proper divisors (13346361748800).

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

4942858291200 is a wasteful number, since it uses less digits than its factorization.

4942858291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26277 (or 26246 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4942858291200 in words is "four trillion, nine hundred forty-two billion, eight hundred fifty-eight million, two hundred ninety-one thousand, two hundred".