4242282720 has 192 divisors, whose sum is σ = 14566293504. Its totient is φ = 1031546880.

The previous prime is 4242282689. The next prime is 4242282721. The reversal of 4242282720 is 272822424.

4242282720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242282721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513825 + ... + 522015.

It is an arithmetic number, because the mean of its divisors is an integer number (75866112).

Almost surely, 2^4242282720 is an apocalyptic number.

4242282720 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 4242282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283146752).

4242282720 is an abundant number, since it is smaller than the sum of its proper divisors (10324010784).

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

4242282720 is a wasteful number, since it uses less digits than its factorization.

4242282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8305 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 4242282720 is about 65132.8083226879. The cubic root of 4242282720 is about 1618.8248755733.

The spelling of 4242282720 in words is "four billion, two hundred forty-two million, two hundred eighty-two thousand, seven hundred twenty".