4130237072 has 80 divisors (see below), whose sum is σ = 8937605040. Its totient is φ = 1835882496.

The previous prime is 4130237071. The next prime is 4130237093. The reversal of 4130237072 is 2707320314.

4130237072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2265379216 + 1864857856 = 47596^2 + 43184^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (4130237071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3697058 + ... + 3698174.

It is an arithmetic number, because the mean of its divisors is an integer number (111720063).

Almost surely, 2^4130237072 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 4130237072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468802520).

4130237072 is an abundant number, since it is smaller than the sum of its proper divisors (4807367968).

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

4130237072 is a wasteful number, since it uses less digits than its factorization.

4130237072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 4130237072 is about 64266.9205112552. The cubic root of 4130237072 is about 1604.4455886070.

Adding to 4130237072 its reverse (2707320314), we get a palindrome (6837557386).

The spelling of 4130237072 in words is "four billion, one hundred thirty million, two hundred thirty-seven thousand, seventy-two".