4284269580288 has 416 divisors, whose sum is σ = 12276202143744. Its totient is φ = 1324145442816.

The previous prime is 4284269580257. The next prime is 4284269580299. The reversal of 4284269580288 is 8820859624824.

It is a super-2 number, since 2×4284269580288² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4430474781 + ... + 4430475747.

Almost surely, 2^{4284269580288} is an apocalyptic number.

4284269580288 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 4284269580288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138101071872).

4284269580288 is an abundant number, since it is smaller than the sum of its proper divisors (7991932563456).

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

4284269580288 is a wasteful number, since it uses less digits than its factorization.

4284269580288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 66.

The spelling of 4284269580288 in words is "four trillion, two hundred eighty-four billion, two hundred sixty-nine million, five hundred eighty thousand, two hundred eighty-eight".