4131411440 has 80 divisors (see below), whose sum is σ = 10369128000. Its totient is φ = 1521801216.

The previous prime is 4131411377. The next prime is 4131411463. The reversal of 4131411440 is 441141314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452036 + ... + 461084.

It is an arithmetic number, because the mean of its divisors is an integer number (129614100).

Almost surely, 2^4131411440 is an apocalyptic number.

4131411440 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 4131411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184564000).

4131411440 is an abundant number, since it is smaller than the sum of its proper divisors (6237716560).

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

4131411440 is a wasteful number, since it uses less digits than its factorization.

4131411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4131411440 is about 64276.0565062917. The cubic root of 4131411440 is about 1604.5976404926.

Adding to 4131411440 its reverse (441141314), we get a palindrome (4572552754).

The spelling of 4131411440 in words is "four billion, one hundred thirty-one million, four hundred eleven thousand, four hundred forty".