4210136071680 has 1920 divisors, whose sum is σ = 18717439150080. Its totient is φ = 794595164160.

The previous prime is 4210136071597. The next prime is 4210136071717. The reversal of 4210136071680 is 861706310124.

4210136071680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×4210136071680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2040782329 + ... + 2040784391.

It is an arithmetic number, because the mean of its divisors is an integer number (9748666224).

Almost surely, 2^{4210136071680} is an apocalyptic number.

4210136071680 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 4210136071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9358719575040).

4210136071680 is an abundant number, since it is smaller than the sum of its proper divisors (14507303078400).

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

4210136071680 is a wasteful number, since it uses less digits than its factorization.

4210136071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 4210136071680 in words is "four trillion, two hundred ten billion, one hundred thirty-six million, seventy-one thousand, six hundred eighty".