241254441444100 has 144 divisors (see below), whose sum is σ = 614548010215552. Its totient is φ = 80471545943040.

The previous prime is 241254441444097. The next prime is 241254441444109. The reversal of 241254441444100 is 1444144452142.

It is not an unprimeable number, because it can be changed into a prime (241254441444109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 241329487 + ... + 242327113.

Almost surely, 2^{241254441444100} is an apocalyptic number.

241254441444100 is a gapful number since it is divisible by the number (20) 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 241254441444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307274005107776).

241254441444100 is an abundant number, since it is smaller than the sum of its proper divisors (373293568771452).

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

241254441444100 is a wasteful number, since it uses less digits than its factorization.

241254441444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007022 (or 1007015 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 40.

Adding to 241254441444100 its reverse (1444144452142), we get a palindrome (242698585896242).

The spelling of 241254441444100 in words is "two hundred forty-one trillion, two hundred fifty-four billion, four hundred forty-one million, four hundred forty-four thousand, one hundred".