242142342240 has 96 divisors (see below), whose sum is σ = 764651101536. Its totient is φ = 64410214400.

The previous prime is 242142342227. The next prime is 242142342283. The reversal of 242142342240 is 42243241242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×242142342240³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242142342198 and 242142342207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436527 + ... + 821486.

It is an arithmetic number, because the mean of its divisors is an integer number (7965115641).

Almost surely, 2^242142342240 is an apocalyptic number.

242142342240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242142342240 is an abundant number, since it is smaller than the sum of its proper divisors (522508759296).

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

242142342240 is a wasteful number, since it uses less digits than its factorization.

242142342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258432 (or 1258424 counting only the distinct ones).

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

Adding to 242142342240 its reverse (42243241242), we get a palindrome (284385583482).

The spelling of 242142342240 in words is "two hundred forty-two billion, one hundred forty-two million, three hundred forty-two thousand, two hundred forty".