242241000434004 has 144 divisors (see below), whose sum is σ = 669241280240960. Its totient is φ = 67742972352000.

The previous prime is 242241000433967. The next prime is 242241000434023. The reversal of 242241000434004 is 400434000142242.

It is a super-2 number, since 2×242241000434004² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74882712 + ... + 78050640.

Almost surely, 2^{242241000434004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242241000434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334620640120480).

242241000434004 is an abundant number, since it is smaller than the sum of its proper divisors (427000279806956).

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

242241000434004 is a wasteful number, since it uses less digits than its factorization.

242241000434004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172022 (or 3172009 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 242241000434004 its reverse (400434000142242), we get a palindrome (642675000576246).

The spelling of 242241000434004 in words is "two hundred forty-two trillion, two hundred forty-one billion, four hundred thirty-four thousand, four".