4085970447600 has 720 divisors, whose sum is σ = 15833864067840. Its totient is φ = 1008093081600.

The previous prime is 4085970447589. The next prime is 4085970447613. The reversal of 4085970447600 is 67440795804.

4085970447600 is a `hidden beast` number, since 4 + 0 + 8 + 597 + 0 + 4 + 47 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97470645 + ... + 97512555.

It is an arithmetic number, because the mean of its divisors is an integer number (21991477872).

Almost surely, 2^{4085970447600} is an apocalyptic number.

4085970447600 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 4085970447600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916932033920).

4085970447600 is an abundant number, since it is smaller than the sum of its proper divisors (11747893620240).

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

4085970447600 is a wasteful number, since it uses less digits than its factorization.

4085970447600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42020 (or 41997 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4085970447600 in words is "four trillion, eighty-five billion, nine hundred seventy million, four hundred forty-seven thousand, six hundred".