4220586975360 has 512 divisors, whose sum is σ = 16625819566080. Its totient is φ = 888637685760.

The previous prime is 4220586975359. The next prime is 4220586975383. The reversal of 4220586975360 is 635796850224.

It is a self number, because there is not a number n which added to its sum of digits gives 4220586975360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10542045 + ... + 10935075.

It is an arithmetic number, because the mean of its divisors is an integer number (32472303840).

Almost surely, 2^{4220586975360} is an apocalyptic number.

4220586975360 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 4220586975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8312909783040).

4220586975360 is an abundant number, since it is smaller than the sum of its proper divisors (12405232590720).

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

4220586975360 is a wasteful number, since it uses less digits than its factorization.

4220586975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393124 (or 393112 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 4220586975360 in words is "four trillion, two hundred twenty billion, five hundred eighty-six million, nine hundred seventy-five thousand, three hundred sixty".