4085319812304 has 160 divisors (see below), whose sum is σ = 11005267046400. Its totient is φ = 1304307934720.

The previous prime is 4085319812293. The next prime is 4085319812317. The reversal of 4085319812304 is 4032189135804.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 87473599 + ... + 87520289.

It is an arithmetic number, because the mean of its divisors is an integer number (68782919040).

Almost surely, 2^{4085319812304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085319812304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502633523200).

4085319812304 is an abundant number, since it is smaller than the sum of its proper divisors (6919947234096).

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

4085319812304 is a wasteful number, since it uses less digits than its factorization.

4085319812304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47233 (or 47227 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 4085319812304 in words is "four trillion, eighty-five billion, three hundred nineteen million, eight hundred twelve thousand, three hundred four".