6841249143840 has 384 divisors, whose sum is σ = 24368466124800. Its totient is φ = 1792267361280.

The previous prime is 6841249143793. The next prime is 6841249143863. The reversal of 6841249143840 is 483419421486.

6841249143840 is a `hidden beast` number, since 6 + 8 + 4 + 1 + 249 + 14 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 64128945 + ... + 64235535.

It is an arithmetic number, because the mean of its divisors is an integer number (63459547200).

Almost surely, 2^{6841249143840} is an apocalyptic number.

6841249143840 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 6841249143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184233062400).

6841249143840 is an abundant number, since it is smaller than the sum of its proper divisors (17527216980960).

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

6841249143840 is a wasteful number, since it uses less digits than its factorization.

6841249143840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106877 (or 106863 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 6841249143840 in words is "six trillion, eight hundred forty-one billion, two hundred forty-nine million, one hundred forty-three thousand, eight hundred forty".