241222345530400 has 144 divisors (see below), whose sum is σ = 634281766759368. Its totient is φ = 89052816384000.

The previous prime is 241222345530359. The next prime is 241222345530427. The reversal of 241222345530400 is 4035543222142.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 22635937660176 + 218586407870224 = 4757724^2 + 14784668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 241222345530400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64972260 + ... + 68584540.

Almost surely, 2^{241222345530400} is an apocalyptic number.

241222345530400 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 241222345530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317140883379684).

241222345530400 is an abundant number, since it is smaller than the sum of its proper divisors (393059421228968).

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

241222345530400 is a wasteful number, since it uses less digits than its factorization.

241222345530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618735 (or 3618722 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 241222345530400 its reverse (4035543222142), we get a palindrome (245257888752542).

The spelling of 241222345530400 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred forty-five million, five hundred thirty thousand, four hundred".