242401114421334 has 256 divisors, whose sum is σ = 609810622848000. Its totient is φ = 70746408944640.

The previous prime is 242401114421317. The next prime is 242401114421351. The reversal of 242401114421334 is 433124411104242.

242401114421334 is a `hidden beast` number, since 2 + 4 + 2 + 401 + 1 + 1 + 4 + 4 + 213 + 34 = 666.

242401114421334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242401114421317) and next prime (242401114421351).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 389152624 + ... + 389775020.

It is an arithmetic number, because the mean of its divisors is an integer number (2382072745500).

Almost surely, 2^{242401114421334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242401114421334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304905311424000).

242401114421334 is an abundant number, since it is smaller than the sum of its proper divisors (367409508426666).

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

242401114421334 is a wasteful number, since it uses less digits than its factorization.

242401114421334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622700 (or 622694 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 242401114421334 its reverse (433124411104242), we get a palindrome (675525525525576).

The spelling of 242401114421334 in words is "two hundred forty-two trillion, four hundred one billion, one hundred fourteen million, four hundred twenty-one thousand, three hundred thirty-four".