241132224433100 has 864 divisors, whose sum is σ = 714124082800128. Its totient is φ = 68767294464000.

The previous prime is 241132224433099. The next prime is 241132224433151. The reversal of 241132224433100 is 1334422231142.

It is a happy number.

It is a super-2 number, since 2×241132224433100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60237875699 + ... + 60237879701.

Almost surely, 2^{241132224433100} is an apocalyptic number.

241132224433100 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 241132224433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357062041400064).

241132224433100 is an abundant number, since it is smaller than the sum of its proper divisors (472991858367028).

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

241132224433100 is a wasteful number, since it uses less digits than its factorization.

241132224433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 241132224433100 its reverse (1334422231142), we get a palindrome (242466646664242).

The spelling of 241132224433100 in words is "two hundred forty-one trillion, one hundred thirty-two billion, two hundred twenty-four million, four hundred thirty-three thousand, one hundred".