4115444140 has 48 divisors (see below), whose sum is σ = 8932799232. Its totient is φ = 1591439616.

The previous prime is 4115444107. The next prime is 4115444141. The reversal of 4115444140 is 414445114.

It is a junction number, because it is equal to n+sod(n) for n = 4115444099 and 4115444108.

It is not an unprimeable number, because it can be changed into a prime (4115444141) 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, 98469 + ... + 133891.

It is an arithmetic number, because the mean of its divisors is an integer number (186099984).

Almost surely, 2^4115444140 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 4115444140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466399616).

4115444140 is an abundant number, since it is smaller than the sum of its proper divisors (4817355092).

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

4115444140 is a wasteful number, since it uses less digits than its factorization.

4115444140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35626 (or 35624 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 4115444140 is about 64151.7274903802. The cubic root of 4115444140 is about 1602.5277933723.

Adding to 4115444140 its reverse (414445114), we get a palindrome (4529889254).

The spelling of 4115444140 in words is "four billion, one hundred fifteen million, four hundred forty-four thousand, one hundred forty".