4102066072 has 64 divisors (see below), whose sum is σ = 8759036160. Its totient is φ = 1787443200.

The previous prime is 4102066057. The next prime is 4102066081. The reversal of 4102066072 is 2706602014.

It is a self number, because there is not a number n which added to its sum of digits gives 4102066072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116668 + ... + 147700.

It is an arithmetic number, because the mean of its divisors is an integer number (136859940).

Almost surely, 2^4102066072 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 4102066072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379518080).

4102066072 is an abundant number, since it is smaller than the sum of its proper divisors (4656970088).

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

4102066072 is a wasteful number, since it uses less digits than its factorization.

4102066072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31124 (or 31120 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4102066072 is about 64047.3736541944. The cubic root of 4102066072 is about 1600.7894635280.

Adding to 4102066072 its reverse (2706602014), we get a palindrome (6808668086).

The spelling of 4102066072 in words is "four billion, one hundred two million, sixty-six thousand, seventy-two".