242110113320400 has 480 divisors, whose sum is σ = 850293813462912. Its totient is φ = 58527608832000.

The previous prime is 242110113320377. The next prime is 242110113320423. The reversal of 242110113320400 is 4023311011242.

It is an interprime number because it is at equal distance from previous prime (242110113320377) and next prime (242110113320423).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 264884175 + ... + 265796625.

Almost surely, 2^{242110113320400} is an apocalyptic number.

242110113320400 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 242110113320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425146906731456).

242110113320400 is an abundant number, since it is smaller than the sum of its proper divisors (608183700142512).

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

242110113320400 is a wasteful number, since it uses less digits than its factorization.

242110113320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912791 (or 912780 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 242110113320400 its reverse (4023311011242), we get a palindrome (246133424331642).

The spelling of 242110113320400 in words is "two hundred forty-two trillion, one hundred ten billion, one hundred thirteen million, three hundred twenty thousand, four hundred".