242020816126752 has 384 divisors, whose sum is σ = 715785742425600. Its totient is φ = 71044404609024.

The previous prime is 242020816126709. The next prime is 242020816126819. The reversal of 242020816126752 is 257621618020242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17857354408 + ... + 17857367960.

It is an arithmetic number, because the mean of its divisors is an integer number (1864025370900).

Almost surely, 2^{242020816126752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242020816126752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357892871212800).

242020816126752 is an abundant number, since it is smaller than the sum of its proper divisors (473764926298848).

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

242020816126752 is a wasteful number, since it uses less digits than its factorization.

242020816126752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15180 (or 15172 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 242020816126752 in words is "two hundred forty-two trillion, twenty billion, eight hundred sixteen million, one hundred twenty-six thousand, seven hundred fifty-two".