4742905232800 has 288 divisors, whose sum is σ = 14157530110080. Its totient is φ = 1515295641600.

The previous prime is 4742905232749. The next prime is 4742905232801. The reversal of 4742905232800 is 82325092474.

It is not an unprimeable number, because it can be changed into a prime (4742905232801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6125022 + ... + 6855778.

It is an arithmetic number, because the mean of its divisors is an integer number (49158090660).

Almost surely, 2^{4742905232800} is an apocalyptic number.

4742905232800 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 4742905232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078765055040).

4742905232800 is an abundant number, since it is smaller than the sum of its proper divisors (9414624877280).

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

4742905232800 is a wasteful number, since it uses less digits than its factorization.

4742905232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730864 (or 730851 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 4742905232800 in words is "four trillion, seven hundred forty-two billion, nine hundred five million, two hundred thirty-two thousand, eight hundred".