4284365330880 has 224 divisors, whose sum is σ = 15159148630080. Its totient is φ = 1139106447360.

The previous prime is 4284365330851. The next prime is 4284365330881. The reversal of 4284365330880 is 880335634824.

4284365330880 is a `hidden beast` number, since 4 + 28 + 4 + 3 + 6 + 533 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284365330881) 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, 2175960 + ... + 3647400.

It is an arithmetic number, because the mean of its divisors is an integer number (67674770670).

Almost surely, 2^{4284365330880} is an apocalyptic number.

4284365330880 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 4284365330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579574315040).

4284365330880 is an abundant number, since it is smaller than the sum of its proper divisors (10874783299200).

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

4284365330880 is a wasteful number, since it uses less digits than its factorization.

4284365330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471804 (or 1471788 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 4284365330880 in words is "four trillion, two hundred eighty-four billion, three hundred sixty-five million, three hundred thirty thousand, eight hundred eighty".