6341005440 has 1152 divisors, whose sum is σ = 29936200320. Its totient is φ = 1197342720.

The previous prime is 6341005427. The next prime is 6341005441. The reversal of 6341005440 is 445001436.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (6341005441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 218655346 + ... + 218655374.

It is an arithmetic number, because the mean of its divisors is an integer number (25986285).

Almost surely, 2^6341005440 is an apocalyptic number.

6341005440 is a gapful number since it is divisible by the number (60) 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 6341005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968100160).

6341005440 is an abundant number, since it is smaller than the sum of its proper divisors (23595194880).

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

6341005440 is a wasteful number, since it uses less digits than its factorization.

6341005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6341005440 is about 79630.4303642772. The cubic root of 6341005440 is about 1850.9131542603.

Adding to 6341005440 its reverse (445001436), we get a palindrome (6786006876).

The spelling of 6341005440 in words is "six billion, three hundred forty-one million, five thousand, four hundred forty".