4109128704 has 220 divisors, whose sum is σ = 12412090944. Its totient is φ = 1353977856.

The previous prime is 4109128657. The next prime is 4109128711. The reversal of 4109128704 is 4078219014.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8874777 + ... + 8875239.

Almost surely, 2^4109128704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6206045472).

4109128704 is an abundant number, since it is smaller than the sum of its proper divisors (8302962240).

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

4109128704 is a wasteful number, since it uses less digits than its factorization.

4109128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 575 counting only the distinct ones).

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

The square root of 4109128704 is about 64102.4859424344. The cubic root of 4109128704 is about 1601.7076434894.

The spelling of 4109128704 in words is "four billion, one hundred nine million, one hundred twenty-eight thousand, seven hundred four".