4197108960 has 480 divisors, whose sum is σ = 16465680000. Its totient is φ = 998231040.

The previous prime is 4197108943. The next prime is 4197108967. The reversal of 4197108960 is 698017914.

It is a happy number.

4197108960 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 (480).

It is a super-3 number, since 3×4197108960³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197108967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8410791 + ... + 8411289.

It is an arithmetic number, because the mean of its divisors is an integer number (34303500).

Almost surely, 2^4197108960 is an apocalyptic number.

4197108960 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 4197108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232840000).

4197108960 is an abundant number, since it is smaller than the sum of its proper divisors (12268571040).

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

4197108960 is a wasteful number, since it uses less digits than its factorization.

4197108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 4197108960 is about 64785.0982865659. The cubic root of 4197108960 is about 1613.0583636898.

The spelling of 4197108960 in words is "four billion, one hundred ninety-seven million, one hundred eight thousand, nine hundred sixty".