4095727890 has 64 divisors (see below), whose sum is σ = 10438243200. Its totient is φ = 1024957440.

The previous prime is 4095727871. The next prime is 4095727897. The reversal of 4095727890 is 987275904.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4095727897) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 166485 + ... + 189495.

It is an arithmetic number, because the mean of its divisors is an integer number (163097550).

Almost surely, 2^4095727890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4095727890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219121600).

4095727890 is an abundant number, since it is smaller than the sum of its proper divisors (6342515310).

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

4095727890 is a wasteful number, since it uses less digits than its factorization.

4095727890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23387.

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 4095727890 is about 63997.8741053170. The cubic root of 4095727890 is about 1599.9645682258.

The spelling of 4095727890 in words is "four billion, ninety-five million, seven hundred twenty-seven thousand, eight hundred ninety".