6405344003300 has 108 divisors (see below), whose sum is σ = 15286110550788. Its totient is φ = 2327990016000.

The previous prime is 6405344003299. The next prime is 6405344003323. The reversal of 6405344003300 is 33004435046.

It can be written as a sum of positive squares in 6 ways, for example, as 28022090404 + 6377321912896 = 167398^2 + 2525336^2 .

It is a super-2 number, since 2×6405344003300² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23008940 + ... + 23285660.

Almost surely, 2^{6405344003300} 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 6405344003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643055275394).

6405344003300 is an abundant number, since it is smaller than the sum of its proper divisors (8880766547488).

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

6405344003300 is a wasteful number, since it uses less digits than its factorization.

6405344003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278670 (or 278652 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 6405344003300 its reverse (33004435046), we get a palindrome (6438348438346).

The spelling of 6405344003300 in words is "six trillion, four hundred five billion, three hundred forty-four million, three thousand, three hundred".