1241641384704 has 1260 divisors, whose sum is σ = 4618176468696. Its totient is φ = 331838373888.

The previous prime is 1241641384703. The next prime is 1241641384723. The reversal of 1241641384704 is 4074831461421.

1241641384704 is a `hidden beast` number, since 1 + 2 + 4 + 164 + 13 + 8 + 470 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1241641384704.

It is not an unprimeable number, because it can be changed into a prime (1241641384703) 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 139 ways as a sum of consecutive naturals, for example, 7617431727 + ... + 7617431889.

Almost surely, 2^{1241641384704} is an apocalyptic number.

1241641384704 is a gapful number since it is divisible by the number (14) 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 1241641384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309088234348).

1241641384704 is an abundant number, since it is smaller than the sum of its proper divisors (3376535083992).

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

1241641384704 is an frugal number, since it uses more digits than its factorization.

1241641384704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1241641384704 in words is "one trillion, two hundred forty-one billion, six hundred forty-one million, three hundred eighty-four thousand, seven hundred four".