241434312444 has 240 divisors, whose sum is σ = 718264673280. Its totient is φ = 70103905920.

The previous prime is 241434312433. The next prime is 241434312473. The reversal of 241434312444 is 444213434142.

241434312444 is a `hidden beast` number, since 24 + 143 + 43 + 12 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 241434312399 and 241434312408.

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 79 ways as a sum of consecutive naturals, for example, 21041629 + ... + 21053099.

It is an arithmetic number, because the mean of its divisors is an integer number (2992769472).

Almost surely, 2^241434312444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241434312444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359132336640).

241434312444 is an abundant number, since it is smaller than the sum of its proper divisors (476830360836).

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

241434312444 is a wasteful number, since it uses less digits than its factorization.

241434312444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11782 (or 11771 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 241434312444 its reverse (444213434142), we get a palindrome (685647746586).

It can be divided in two parts, 241434 and 312444, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 241434312444 in words is "two hundred forty-one billion, four hundred thirty-four million, three hundred twelve thousand, four hundred forty-four".