4081109760 has 864 divisors, whose sum is σ = 18481357440. Its totient is φ = 806879232.

The previous prime is 4081109759. The next prime is 4081109771. The reversal of 4081109760 is 679011804.

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

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, 17821326 + ... + 17821554.

It is an arithmetic number, because the mean of its divisors is an integer number (21390460).

Almost surely, 2^4081109760 is an apocalyptic number.

4081109760 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 4081109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9240678720).

4081109760 is an abundant number, since it is smaller than the sum of its proper divisors (14400247680).

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

4081109760 is a wasteful number, since it uses less digits than its factorization.

4081109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 4081109760 is about 63883.5640834166. The cubic root of 4081109760 is about 1598.0588124885.

The spelling of 4081109760 in words is "four billion, eighty-one million, one hundred nine thousand, seven hundred sixty".