4201585613568 has 864 divisors, whose sum is σ = 14700875245056. Its totient is φ = 1171986776064.

The previous prime is 4201585613543. The next prime is 4201585613587. The reversal of 4201585613568 is 8653165851024.

4201585613568 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 585 + 6 + 1 + 3 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7085304280 + ... + 7085304872.

It is an arithmetic number, because the mean of its divisors is an integer number (17014901904).

Almost surely, 2^{4201585613568} is an apocalyptic number.

4201585613568 is a gapful number since it is divisible by the number (48) 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 4201585613568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350437622528).

4201585613568 is an abundant number, since it is smaller than the sum of its proper divisors (10499289631488).

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

4201585613568 is an equidigital number, since it uses as much as digits as its factorization.

4201585613568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 4201585613568 in words is "four trillion, two hundred one billion, five hundred eighty-five million, six hundred thirteen thousand, five hundred sixty-eight".