242002135104405 has 128 divisors (see below), whose sum is σ = 438344949504000. Its totient is φ = 113190856289280.

The previous prime is 242002135104397. The next prime is 242002135104407. The reversal of 242002135104405 is 504401531200242.

It is not a de Polignac number, because 242002135104405 - 2³ = 242002135104397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242002135104407) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1085435790 + ... + 1085658720.

It is an arithmetic number, because the mean of its divisors is an integer number (3424569918000).

Almost surely, 2^{242002135104405} is an apocalyptic number.

It is an amenable number.

242002135104405 is a deficient number, since it is larger than the sum of its proper divisors (196342814399595).

242002135104405 is a wasteful number, since it uses less digits than its factorization.

242002135104405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226531.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 242002135104405 its reverse (504401531200242), we get a palindrome (746403666304647).

The spelling of 242002135104405 in words is "two hundred forty-two trillion, two billion, one hundred thirty-five million, one hundred four thousand, four hundred five".