4210989478560 has 192 divisors, whose sum is σ = 14741648732160. Its totient is φ = 1122687820800.

The previous prime is 4210989478543. The next prime is 4210989478571. The reversal of 4210989478560 is 658749890124.

4210989478560 is a `hidden beast` number, since 4 + 2 + 10 + 98 + 9 + 478 + 5 + 60 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 20343585 + ... + 20549535.

It is an arithmetic number, because the mean of its divisors is an integer number (76779420480).

Almost surely, 2^{4210989478560} is an apocalyptic number.

4210989478560 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 4210989478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370824366080).

4210989478560 is an abundant number, since it is smaller than the sum of its proper divisors (10530659253600).

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

4210989478560 is a wasteful number, since it uses less digits than its factorization.

4210989478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210708 (or 210694 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 4210989478560 in words is "four trillion, two hundred ten billion, nine hundred eighty-nine million, four hundred seventy-eight thousand, five hundred sixty".