4085456464320 has 896 divisors, whose sum is σ = 16436910292992. Its totient is φ = 835112140800.

The previous prime is 4085456464319. The next prime is 4085456464343. The reversal of 4085456464320 is 234646545804.

It is a happy number.

4085456464320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1576786225 + ... + 1576788815.

It is an arithmetic number, because the mean of its divisors is an integer number (18344765952).

Almost surely, 2^{4085456464320} is an apocalyptic number.

4085456464320 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 4085456464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8218455146496).

4085456464320 is an abundant number, since it is smaller than the sum of its proper divisors (12351453828672).

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

4085456464320 is a wasteful number, since it uses less digits than its factorization.

4085456464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 51.

The spelling of 4085456464320 in words is "four trillion, eighty-five billion, four hundred fifty-six million, four hundred sixty-four thousand, three hundred twenty".