242140041144 has 160 divisors (see below), whose sum is σ = 718429765680. Its totient is φ = 75931831296.

The previous prime is 242140041133. The next prime is 242140041151. The reversal of 242140041144 is 441140041242.

It is a happy number.

242140041144 is a `hidden beast` number, since 242 + 1 + 4 + 0 + 0 + 411 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39070654 + ... + 39076850.

Almost surely, 2^242140041144 is an apocalyptic number.

242140041144 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 242140041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359214882840).

242140041144 is an abundant number, since it is smaller than the sum of its proper divisors (476289724536).

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

242140041144 is a wasteful number, since it uses less digits than its factorization.

242140041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779 (or 9766 counting only the distinct ones).

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

Adding to 242140041144 its reverse (441140041242), we get a palindrome (683280082386).

The spelling of 242140041144 in words is "two hundred forty-two billion, one hundred forty million, forty-one thousand, one hundred forty-four".