241220103444320 has 576 divisors, whose sum is σ = 771381372883968. Its totient is φ = 69363476582400.

The previous prime is 241220103444311. The next prime is 241220103444367. The reversal of 241220103444320 is 23444301022142.

It is a happy number.

241220103444320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3253933655 + ... + 3254007785.

It is an arithmetic number, because the mean of its divisors is an integer number (1339203772368).

Almost surely, 2^{241220103444320} is an apocalyptic number.

241220103444320 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 241220103444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385690686441984).

241220103444320 is an abundant number, since it is smaller than the sum of its proper divisors (530161269439648).

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

241220103444320 is a wasteful number, since it uses less digits than its factorization.

241220103444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76035 (or 76016 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 241220103444320 its reverse (23444301022142), we get a palindrome (264664404466462).

The spelling of 241220103444320 in words is "two hundred forty-one trillion, two hundred twenty billion, one hundred three million, four hundred forty-four thousand, three hundred twenty".