4130115440 has 80 divisors (see below), whose sum is σ = 10623177216. Its totient is φ = 1480684800.

The previous prime is 4130115433. The next prime is 4130115449. The reversal of 4130115440 is 445110314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130115449) 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 15 ways as a sum of consecutive naturals, for example, 29429 + ... + 95531.

Almost surely, 2^4130115440 is an apocalyptic number.

4130115440 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 4130115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311588608).

4130115440 is an abundant number, since it is smaller than the sum of its proper divisors (6493061776).

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

4130115440 is a wasteful number, since it uses less digits than its factorization.

4130115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66198 (or 66192 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4130115440 is about 64265.9742009720. The cubic root of 4130115440 is about 1604.4298385957.

Adding to 4130115440 its reverse (445110314), we get a palindrome (4575225754).

The spelling of 4130115440 in words is "four billion, one hundred thirty million, one hundred fifteen thousand, four hundred forty".