4282582745088 has 960 divisors, whose sum is σ = 14141188656000. Its totient is φ = 1274699317248.

The previous prime is 4282582745081. The next prime is 4282582745107. The reversal of 4282582745088 is 8805472852824.

4282582745088 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 58 + 2 + 74 + 508 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4282582745081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15920381818 + ... + 15920382086.

It is an arithmetic number, because the mean of its divisors is an integer number (14730404850).

Almost surely, 2^{4282582745088} is an apocalyptic number.

4282582745088 is a gapful number since it is divisible by the number (48) 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 4282582745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070594328000).

4282582745088 is an abundant number, since it is smaller than the sum of its proper divisors (9858605910912).

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

4282582745088 is a wasteful number, since it uses less digits than its factorization.

4282582745088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 91750400, while the sum is 63.

The spelling of 4282582745088 in words is "four trillion, two hundred eighty-two billion, five hundred eighty-two million, seven hundred forty-five thousand, eighty-eight".