4115141440 has 112 divisors (see below), whose sum is σ = 10022189760. Its totient is φ = 1608929280.

The previous prime is 4115141399. The next prime is 4115141449. The reversal of 4115141440 is 441415114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115141449) 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, 3983164 + ... + 3984196.

Almost surely, 2^4115141440 is an apocalyptic number.

4115141440 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 4115141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011094880).

4115141440 is an abundant number, since it is smaller than the sum of its proper divisors (5907048320).

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

4115141440 is a wasteful number, since it uses less digits than its factorization.

4115141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 4115141440 is about 64149.3681964211. The cubic root of 4115141440 is about 1602.4885025902.

Adding to 4115141440 its reverse (441415114), we get a palindrome (4556556554).

The spelling of 4115141440 in words is "four billion, one hundred fifteen million, one hundred forty-one thousand, four hundred forty".