242224113321400 has 192 divisors, whose sum is σ = 681526359432000. Its totient is φ = 78158252605440.

The previous prime is 242224113321367. The next prime is 242224113321413. The reversal of 242224113321400 is 4123311422242.

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 47 ways as a sum of consecutive naturals, for example, 395940552 + ... + 396551848.

It is an arithmetic number, because the mean of its divisors is an integer number (3549616455375).

Almost surely, 2^{242224113321400} is an apocalyptic number.

242224113321400 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 242224113321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340763179716000).

242224113321400 is an abundant number, since it is smaller than the sum of its proper divisors (439302246110600).

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

242224113321400 is a wasteful number, since it uses less digits than its factorization.

242224113321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627986 (or 627977 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 242224113321400 its reverse (4123311422242), we get a palindrome (246347424743642).

The spelling of 242224113321400 in words is "two hundred forty-two trillion, two hundred twenty-four billion, one hundred thirteen million, three hundred twenty-one thousand, four hundred".