4170681716208 has 120 divisors (see below), whose sum is σ = 12557384110800. Its totient is φ = 1189335813120.

The previous prime is 4170681716207. The next prime is 4170681716231. The reversal of 4170681716208 is 8026171860714.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4170681716207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476383 + ... + 2927166.

It is an arithmetic number, because the mean of its divisors is an integer number (104644867590).

Almost surely, 2^{4170681716208} is an apocalyptic number.

4170681716208 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 4170681716208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278692055400).

4170681716208 is an abundant number, since it is smaller than the sum of its proper divisors (8386702394592).

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

4170681716208 is a wasteful number, since it uses less digits than its factorization.

4170681716208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404095 (or 3404082 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 4170681716208 in words is "four trillion, one hundred seventy billion, six hundred eighty-one million, seven hundred sixteen thousand, two hundred eight".