4170659613120 has 896 divisors, whose sum is σ = 19754773678080. Its totient is φ = 799965020160.

The previous prime is 4170659613097. The next prime is 4170659613137. The reversal of 4170659613120 is 213169560714.

4170659613120 is a `hidden beast` number, since 4 + 1 + 7 + 0 + 6 + 5 + 9 + 613 + 1 + 20 = 666.

4170659613120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4170659613120² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8407524 + ... + 8889756.

It is an arithmetic number, because the mean of its divisors is an integer number (22047738480).

Almost surely, 2^{4170659613120} is an apocalyptic number.

4170659613120 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 4170659613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877386839040).

4170659613120 is an abundant number, since it is smaller than the sum of its proper divisors (15584114064960).

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

4170659613120 is a wasteful number, since it uses less digits than its factorization.

4170659613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482290 (or 482274 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 4170659613120 in words is "four trillion, one hundred seventy billion, six hundred fifty-nine million, six hundred thirteen thousand, one hundred twenty".