241416141076352 has 256 divisors, whose sum is σ = 534277101600000. Its totient is φ = 107745728348160.

The previous prime is 241416141076321. The next prime is 241416141076403. The reversal of 241416141076352 is 253670141614142.

It is a junction number, because it is equal to n+sod(n) for n = 241416141076297 and 241416141076306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13601666774 + ... + 13601684522.

It is an arithmetic number, because the mean of its divisors is an integer number (2087019928125).

Almost surely, 2^{241416141076352} is an apocalyptic number.

241416141076352 is a gapful number since it is divisible by the number (22) 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 241416141076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267138550800000).

241416141076352 is an abundant number, since it is smaller than the sum of its proper divisors (292860960523648).

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

241416141076352 is a wasteful number, since it uses less digits than its factorization.

241416141076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18677 (or 18665 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 241416141076352 in words is "two hundred forty-one trillion, four hundred sixteen billion, one hundred forty-one million, seventy-six thousand, three hundred fifty-two".