4005411320 has 64 divisors (see below), whose sum is σ = 9272577600. Its totient is φ = 1556029440.

The previous prime is 4005411251. The next prime is 4005411349. The reversal of 4005411320 is 231145004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4005411292 and 4005411301.

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, 931736 + ... + 936024.

It is an arithmetic number, because the mean of its divisors is an integer number (144884025).

Almost surely, 2^4005411320 is an apocalyptic number.

4005411320 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 4005411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636288800).

4005411320 is an abundant number, since it is smaller than the sum of its proper divisors (5267166280).

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

4005411320 is a wasteful number, since it uses less digits than its factorization.

4005411320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4005411320 is about 63288.3189854178. The cubic root of 4005411320 is about 1588.1165573345.

Adding to 4005411320 its reverse (231145004), we get a palindrome (4236556324).

The spelling of 4005411320 in words is "four billion, five million, four hundred eleven thousand, three hundred twenty".