4109256544 has 96 divisors (see below), whose sum is σ = 8650333440. Its totient is φ = 1917307392.

The previous prime is 4109256511. The next prime is 4109256581. The reversal of 4109256544 is 4456529014.

It is a junction number, because it is equal to n+sod(n) for n = 4109256497 and 4109256506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7512079 + ... + 7512625.

It is an arithmetic number, because the mean of its divisors is an integer number (90107640).

Almost surely, 2^4109256544 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 4109256544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325166720).

4109256544 is an abundant number, since it is smaller than the sum of its proper divisors (4541076896).

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

4109256544 is a wasteful number, since it uses less digits than its factorization.

4109256544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 4109256544 is about 64103.4830878947. The cubic root of 4109256544 is about 1601.7242536758.

The spelling of 4109256544 in words is "four billion, one hundred nine million, two hundred fifty-six thousand, five hundred forty-four".