6412161004160 has 256 divisors, whose sum is σ = 15924400588800. Its totient is φ = 2466360852480.

The previous prime is 6412161004159. The next prime is 6412161004163. The reversal of 6412161004160 is 614001612146.

It is a super-2 number, since 2×6412161004160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (6412161004163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2384588096 + ... + 2384590784.

It is an arithmetic number, because the mean of its divisors is an integer number (62204689800).

Almost surely, 2^{6412161004160} 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 6412161004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962200294400).

6412161004160 is an abundant number, since it is smaller than the sum of its proper divisors (9512239584640).

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

6412161004160 is a wasteful number, since it uses less digits than its factorization.

6412161004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 6412161004160 in words is "six trillion, four hundred twelve billion, one hundred sixty-one million, four thousand, one hundred sixty".