4161108672 has 448 divisors, whose sum is σ = 14716231680. Its totient is φ = 1142138880.

The previous prime is 4161108647. The next prime is 4161108673. The reversal of 4161108672 is 2768011614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4161108673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30372988 + ... + 30373124.

Almost surely, 2^4161108672 is an apocalyptic number.

4161108672 is a gapful number since it is divisible by the number (42) 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 4161108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358115840).

4161108672 is an abundant number, since it is smaller than the sum of its proper divisors (10555123008).

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

4161108672 is an equidigital number, since it uses as much as digits as its factorization.

4161108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4161108672 is about 64506.6560286611. The cubic root of 4161108672 is about 1608.4331646576.

The spelling of 4161108672 in words is "four billion, one hundred sixty-one million, one hundred eight thousand, six hundred seventy-two".