6141919734720 has 1344 divisors, whose sum is σ = 28849949107200. Its totient is φ = 1159729643520.

The previous prime is 6141919734707. The next prime is 6141919734779. The reversal of 6141919734720 is 274379191416.

6141919734720 is a `hidden beast` number, since 6 + 1 + 4 + 191 + 97 + 347 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109299591 + ... + 109355769.

Almost surely, 2^{6141919734720} is an apocalyptic number.

6141919734720 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 6141919734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424974553600).

6141919734720 is an abundant number, since it is smaller than the sum of its proper divisors (22708029372480).

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

6141919734720 is a wasteful number, since it uses less digits than its factorization.

6141919734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56266 (or 56253 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 6141919734720 in words is "six trillion, one hundred forty-one billion, nine hundred nineteen million, seven hundred thirty-four thousand, seven hundred twenty".