4284185955840 has 1920 divisors, whose sum is σ = 18879081661440. Its totient is φ = 909267959808.

The previous prime is 4284185955799. The next prime is 4284185955871. The reversal of 4284185955840 is 485595814824.

4284185955840 is a `hidden beast` number, since 4 + 2 + 8 + 41 + 8 + 5 + 9 + 5 + 584 + 0 = 666.

4284185955840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×4284185955840³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4385041432 + ... + 4385042408.

It is an arithmetic number, because the mean of its divisors is an integer number (9832855032).

Almost surely, 2^{4284185955840} is an apocalyptic number.

4284185955840 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 4284185955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439540830720).

4284185955840 is an abundant number, since it is smaller than the sum of its proper divisors (14594895705600).

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

4284185955840 is an equidigital number, since it uses as much as digits as its factorization.

4284185955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 4284185955840 in words is "four trillion, two hundred eighty-four billion, one hundred eighty-five million, nine hundred fifty-five thousand, eight hundred forty".