6141991173120 has 1584 divisors, whose sum is σ = 24931409053824. Its totient is φ = 1437850828800.

The previous prime is 6141991173091. The next prime is 6141991173139. The reversal of 6141991173120 is 213711991416.

6141991173120 is a `hidden beast` number, since 61 + 419 + 9 + 1 + 173 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13152015127 + ... + 13152015593.

Almost surely, 2^{6141991173120} is an apocalyptic number.

6141991173120 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 6141991173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465704526912).

6141991173120 is an abundant number, since it is smaller than the sum of its proper divisors (18789417880704).

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

6141991173120 is a wasteful number, since it uses less digits than its factorization.

6141991173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 6141991173120 in words is "six trillion, one hundred forty-one billion, nine hundred ninety-one million, one hundred seventy-three thousand, one hundred twenty".