4102873560 has 160 divisors (see below), whose sum is σ = 14235408000. Its totient is φ = 1058780160.

The previous prime is 4102873549. The next prime is 4102873583. The reversal of 4102873560 is 653782014.

4102873560 is a `hidden beast` number, since 4 + 1 + 0 + 28 + 73 + 560 = 666.

4102873560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80016 + ... + 120864.

It is an arithmetic number, because the mean of its divisors is an integer number (88971300).

Almost surely, 2^4102873560 is an apocalyptic number.

4102873560 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 4102873560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117704000).

4102873560 is an abundant number, since it is smaller than the sum of its proper divisors (10132534440).

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

4102873560 is a wasteful number, since it uses less digits than its factorization.

4102873560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40903 (or 40890 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4102873560 is about 64053.6771778170. The cubic root of 4102873560 is about 1600.8944946231.

The spelling of 4102873560 in words is "four billion, one hundred two million, eight hundred seventy-three thousand, five hundred sixty".