4130120440 has 64 divisors (see below), whose sum is σ = 9819532800. Its totient is φ = 1559071872.

The previous prime is 4130120431. The next prime is 4130120443. The reversal of 4130120440 is 440210314.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130120443) 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, 189549 + ... + 210211.

It is an arithmetic number, because the mean of its divisors is an integer number (153430200).

Almost surely, 2^4130120440 is an apocalyptic number.

4130120440 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 4130120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909766400).

4130120440 is an abundant number, since it is smaller than the sum of its proper divisors (5689412360).

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

4130120440 is a wasteful number, since it uses less digits than its factorization.

4130120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20956 (or 20952 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4130120440 is about 64266.0131017943. The cubic root of 4130120440 is about 1604.4304860470.

Adding to 4130120440 its reverse (440210314), we get a palindrome (4570330754).

The spelling of 4130120440 in words is "four billion, one hundred thirty million, one hundred twenty thousand, four hundred forty".