4210488416880 has 800 divisors, whose sum is σ = 15894583425600. Its totient is φ = 1029376180224.

The previous prime is 4210488416867. The next prime is 4210488416891. The reversal of 4210488416880 is 886148840124.

4210488416880 is a `hidden beast` number, since 4 + 21 + 0 + 488 + 4 + 1 + 68 + 80 = 666.

It is a super-3 number, since 3×4210488416880³ (a number of 39 digits) contains 333 as substring.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 879197526 + ... + 879202314.

It is an arithmetic number, because the mean of its divisors is an integer number (19868229282).

Almost surely, 2^{4210488416880} is an apocalyptic number.

4210488416880 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 4210488416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947291712800).

4210488416880 is an abundant number, since it is smaller than the sum of its proper divisors (11684095008720).

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

4210488416880 is a wasteful number, since it uses less digits than its factorization.

4210488416880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5063 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 4210488416880 in words is "four trillion, two hundred ten billion, four hundred eighty-eight million, four hundred sixteen thousand, eight hundred eighty".