242141004144 has 360 divisors, whose sum is σ = 783400952880. Its totient is φ = 69375854592.

The previous prime is 242141004107. The next prime is 242141004151. The reversal of 242141004144 is 441400141242.

It is a happy number.

242141004144 is a `hidden beast` number, since 24 + 214 + 10 + 0 + 414 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39868692 + ... + 39874764.

It is an arithmetic number, because the mean of its divisors is an integer number (2176113758).

Almost surely, 2^242141004144 is an apocalyptic number.

242141004144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242141004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391700476440).

242141004144 is an abundant number, since it is smaller than the sum of its proper divisors (541259948736).

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

242141004144 is a wasteful number, since it uses less digits than its factorization.

242141004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6169 counting only the distinct ones).

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

Adding to 242141004144 its reverse (441400141242), we get a palindrome (683541145386).

The spelling of 242141004144 in words is "two hundred forty-two billion, one hundred forty-one million, four thousand, one hundred forty-four".