4109112000 has 672 divisors, whose sum is σ = 17406664704. Its totient is φ = 905472000.

The previous prime is 4109111983. The next prime is 4109112037. The reversal of 4109112000 is 2119014.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15623869 + ... + 15624131.

Almost surely, 2^4109112000 is an apocalyptic number.

4109112000 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 4109112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8703332352).

4109112000 is an abundant number, since it is smaller than the sum of its proper divisors (13297552704).

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

4109112000 is a wasteful number, since it uses less digits than its factorization.

4109112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 4109112000 is about 64102.3556509431. The cubic root of 4109112000 is about 1601.7054731216.

The spelling of 4109112000 in words is "four billion, one hundred nine million, one hundred twelve thousand".