4282115235552 has 540 divisors, whose sum is σ = 16102595290320. Its totient is φ = 1112233731840.

The previous prime is 4282115235547. The next prime is 4282115235557. The reversal of 4282115235552 is 2555325112824.

4282115235552 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 11 + 52 + 35 + 552 = 666.

4282115235552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4282115235547) and next prime (4282115235557).

It is a junction number, because it is equal to n+sod(n) for n = 4282115235498 and 4282115235507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282115235557) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15228649 + ... + 15507287.

It is an arithmetic number, because the mean of its divisors is an integer number (29819620908).

Almost surely, 2^{4282115235552} is an apocalyptic number.

4282115235552 is a gapful number since it is divisible by the number (42) 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 4282115235552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051297645160).

4282115235552 is an abundant number, since it is smaller than the sum of its proper divisors (11820480054768).

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

4282115235552 is a wasteful number, since it uses less digits than its factorization.

4282115235552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278697 (or 278662 counting only the distinct ones).

The product of its digits is 960000, while the sum is 45.

The spelling of 4282115235552 in words is "four trillion, two hundred eighty-two billion, one hundred fifteen million, two hundred thirty-five thousand, five hundred fifty-two".