4005241344 has 800 divisors, whose sum is σ = 14972791680. Its totient is φ = 1051066368.

The previous prime is 4005241319. The next prime is 4005241351. The reversal of 4005241344 is 4431425004.

It is a happy number.

4005241344 is a `hidden beast` number, since 4 + 0 + 0 + 524 + 134 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174140917 + ... + 174140939.

Almost surely, 2^4005241344 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 4005241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486395840).

4005241344 is an abundant number, since it is smaller than the sum of its proper divisors (10967550336).

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

4005241344 is a wasteful number, since it uses less digits than its factorization.

4005241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4005241344 is about 63286.9761009325. The cubic root of 4005241344 is about 1588.0940922660.

Adding to 4005241344 its reverse (4431425004), we get a palindrome (8436666348).

The spelling of 4005241344 in words is "four billion, five million, two hundred forty-one thousand, three hundred forty-four".