285440947038720 has 5760 divisors, whose sum is σ = 1265527835320320. Its totient is φ = 60949905408000.

The previous prime is 285440947038673. The next prime is 285440947038721. The reversal of 285440947038720 is 27830749044582.

It is a happy number.

285440947038720 is a `hidden beast` number, since 2 + 8 + 5 + 440 + 94 + 7 + 0 + 3 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×285440947038720² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (285440947038721) 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 575 ways as a sum of consecutive naturals, for example, 4679359787490 + ... + 4679359787550.

It is an arithmetic number, because the mean of its divisors is an integer number (219709693632).

Almost surely, 2^{285440947038720} is an apocalyptic number.

285440947038720 is a gapful number since it is divisible by the number (20) 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 285440947038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632763917660160).

285440947038720 is an abundant number, since it is smaller than the sum of its proper divisors (980086888281600).

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

285440947038720 is an equidigital number, since it uses as much as digits as its factorization.

285440947038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 285440947038720 in words is "two hundred eighty-five trillion, four hundred forty billion, nine hundred forty-seven million, thirty-eight thousand, seven hundred twenty".