6241081043736 has 640 divisors, whose sum is σ = 22179734438400. Its totient is φ = 1592634286080.

The previous prime is 6241081043731. The next prime is 6241081043737. The reversal of 6241081043736 is 6373401801426.

6241081043736 is a `hidden beast` number, since 62 + 410 + 8 + 104 + 3 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6241081043691 and 6241081043700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6241081043731) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 672743130 + ... + 672752406.

It is an arithmetic number, because the mean of its divisors is an integer number (34655835060).

Almost surely, 2^{6241081043736} is an apocalyptic number.

6241081043736 is a gapful number since it is divisible by the number (66) 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 6241081043736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089867219200).

6241081043736 is an abundant number, since it is smaller than the sum of its proper divisors (15938653394664).

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

6241081043736 is a wasteful number, since it uses less digits than its factorization.

6241081043736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9549 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6241081043736 in words is "six trillion, two hundred forty-one billion, eighty-one million, forty-three thousand, seven hundred thirty-six".