6141671405760 has 224 divisors, whose sum is σ = 21391363872000. Its totient is φ = 1480571760640.

The previous prime is 6141671405693. The next prime is 6141671405761. The reversal of 6141671405760 is 675041761416.

It is a super-2 number, since 2×6141671405760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6141671405761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265666 + ... + 3514814.

Almost surely, 2^{6141671405760} is an apocalyptic number.

6141671405760 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 6141671405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695681936000).

6141671405760 is an abundant number, since it is smaller than the sum of its proper divisors (15249692466240).

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

6141671405760 is a wasteful number, since it uses less digits than its factorization.

6141671405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249359 (or 3249349 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 6141671405760 in words is "six trillion, one hundred forty-one billion, six hundred seventy-one million, four hundred five thousand, seven hundred sixty".