6418941335820 has 288 divisors, whose sum is σ = 22205505067200. Its totient is φ = 1486867415040.

The previous prime is 6418941335753. The next prime is 6418941335827. The reversal of 6418941335820 is 285331498146.

It is a happy number.

6418941335820 is a `hidden beast` number, since 6 + 4 + 18 + 9 + 41 + 3 + 3 + 582 + 0 = 666.

It is a super-3 number, since 3×6418941335820³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6418941335827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449467080 + ... + 449481360.

It is an arithmetic number, because the mean of its divisors is an integer number (77102448150).

Almost surely, 2^{6418941335820} is an apocalyptic number.

6418941335820 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 6418941335820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11102752533600).

6418941335820 is an abundant number, since it is smaller than the sum of its proper divisors (15786563731380).

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

6418941335820 is a wasteful number, since it uses less digits than its factorization.

6418941335820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25625 (or 25620 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6418941335820 in words is "six trillion, four hundred eighteen billion, nine hundred forty-one million, three hundred thirty-five thousand, eight hundred twenty".