242102442010410 has 96 divisors (see below), whose sum is σ = 656985587298768. Its totient is φ = 61797586007040.

The previous prime is 242102442010409. The next prime is 242102442010421. The reversal of 242102442010410 is 14010244201242.

242102442010410 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 0 + 2 + 44 + 201 + 0 + 410 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48984699194649 + 193117742815761 = 6998907^2 + 13896681^2 .

It is a super-2 number, since 2×242102442010410² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 618770637 + ... + 619161776.

Almost surely, 2^{242102442010410} is an apocalyptic number.

242102442010410 is an abundant number, since it is smaller than the sum of its proper divisors (414883145288358).

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

242102442010410 is a wasteful number, since it uses less digits than its factorization.

242102442010410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237932520 (or 1237932517 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 242102442010410 its reverse (14010244201242), we get a palindrome (256112686211652).

The spelling of 242102442010410 in words is "two hundred forty-two trillion, one hundred two billion, four hundred forty-two million, ten thousand, four hundred ten".