4131413320 has 64 divisors (see below), whose sum is σ = 9449395200. Its totient is φ = 1625352960.

The previous prime is 4131413269. The next prime is 4131413323. The reversal of 4131413320 is 233141314.

It is a junction number, because it is equal to n+sod(n) for n = 4131413291 and 4131413300.

It is not an unprimeable number, because it can be changed into a prime (4131413323) 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, 1358842 + ... + 1361878.

It is an arithmetic number, because the mean of its divisors is an integer number (147646800).

Almost surely, 2^4131413320 is an apocalyptic number.

4131413320 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 4131413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724697600).

4131413320 is an abundant number, since it is smaller than the sum of its proper divisors (5317981880).

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

4131413320 is a wasteful number, since it uses less digits than its factorization.

4131413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4131413320 is about 64276.0711307093. The cubic root of 4131413320 is about 1604.5978838834.

Adding to 4131413320 its reverse (233141314), we get a palindrome (4364554634).

The spelling of 4131413320 in words is "four billion, one hundred thirty-one million, four hundred thirteen thousand, three hundred twenty".