6341413216320 has 896 divisors, whose sum is σ = 27557400084480. Its totient is φ = 1336815083520.

The previous prime is 6341413216273. The next prime is 6341413216339. The reversal of 6341413216320 is 236123141436.

6341413216320 is a `hidden beast` number, since 6 + 3 + 4 + 1 + 4 + 1 + 321 + 6 + 320 = 666.

It is a super-2 number, since 2×6341413216320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1156556299 + ... + 1156561781.

It is an arithmetic number, because the mean of its divisors is an integer number (30756026880).

Almost surely, 2^{6341413216320} is an apocalyptic number.

6341413216320 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 6341413216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778700042240).

6341413216320 is an abundant number, since it is smaller than the sum of its proper divisors (21215986868160).

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

6341413216320 is a wasteful number, since it uses less digits than its factorization.

6341413216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 6341413216320 its reverse (236123141436), we get a palindrome (6577536357756).

The spelling of 6341413216320 in words is "six trillion, three hundred forty-one billion, four hundred thirteen million, two hundred sixteen thousand, three hundred twenty".