4842059742720 has 480 divisors, whose sum is σ = 17600000438592. Its totient is φ = 1227913691136.

The previous prime is 4842059742677. The next prime is 4842059742731. The reversal of 4842059742720 is 272479502484.

4842059742720 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 0 + 597 + 4 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 91649752 + ... + 91702568.

Almost surely, 2^{4842059742720} is an apocalyptic number.

4842059742720 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 4842059742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8800000219296).

4842059742720 is an abundant number, since it is smaller than the sum of its proper divisors (12757940695872).

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

4842059742720 is a wasteful number, since it uses less digits than its factorization.

4842059742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53042 (or 53023 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 4842059742720 in words is "four trillion, eight hundred forty-two billion, fifty-nine million, seven hundred forty-two thousand, seven hundred twenty".