241444401334020 has 144 divisors (see below), whose sum is σ = 733945674309120. Its totient is φ = 64247694037248.

The previous prime is 241444401334007. The next prime is 241444401334049. The reversal of 241444401334020 is 20433104444142.

241444401334020 is a `hidden beast` number, since 2 + 4 + 1 + 44 + 440 + 133 + 40 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542809429 + ... + 543254051.

It is an arithmetic number, because the mean of its divisors is an integer number (5096844960480).

Almost surely, 2^{241444401334020} is an apocalyptic number.

241444401334020 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 241444401334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366972837154560).

241444401334020 is an abundant number, since it is smaller than the sum of its proper divisors (492501272975100).

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

241444401334020 is a wasteful number, since it uses less digits than its factorization.

241444401334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451074 (or 451069 counting only the distinct ones).

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

Adding to 241444401334020 its reverse (20433104444142), we get a palindrome (261877505778162).

The spelling of 241444401334020 in words is "two hundred forty-one trillion, four hundred forty-four billion, four hundred one million, three hundred thirty-four thousand, twenty".