242224332310400 has 192 divisors, whose sum is σ = 652822723702800. Its totient is φ = 88074063052800.

The previous prime is 242224332310399. The next prime is 242224332310507. The reversal of 242224332310400 is 4013233422242.

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 23 ways as a sum of consecutive naturals, for example, 421021334 + ... + 421596266.

Almost surely, 2^{242224332310400} is an apocalyptic number.

242224332310400 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 242224332310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326411361851400).

242224332310400 is an abundant number, since it is smaller than the sum of its proper divisors (410598391392400).

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

242224332310400 is a wasteful number, since it uses less digits than its factorization.

242224332310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586937 (or 586920 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 242224332310400 its reverse (4013233422242), we get a palindrome (246237565732642).

The spelling of 242224332310400 in words is "two hundred forty-two trillion, two hundred twenty-four billion, three hundred thirty-two million, three hundred ten thousand, four hundred".