242057016041550 has 384 divisors, whose sum is σ = 641109174386688. Its totient is φ = 60337468416000.

The previous prime is 242057016041543. The next prime is 242057016041587. The reversal of 242057016041550 is 55140610750242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10003584052 + ... + 10003608248.

It is an arithmetic number, because the mean of its divisors is an integer number (1669555141632).

Almost surely, 2^{242057016041550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242057016041550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320554587193344).

242057016041550 is an abundant number, since it is smaller than the sum of its proper divisors (399052158345138).

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

242057016041550 is a wasteful number, since it uses less digits than its factorization.

242057016041550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24804 (or 24799 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

Adding to 242057016041550 its reverse (55140610750242), we get a palindrome (297197626791792).

The spelling of 242057016041550 in words is "two hundred forty-two trillion, fifty-seven billion, sixteen million, forty-one thousand, five hundred fifty".