242422314876144 has 1280 divisors, whose sum is σ = 804587863080960. Its totient is φ = 69342745006080.

The previous prime is 242422314876139. The next prime is 242422314876187. The reversal of 242422314876144 is 441678413224242.

242422314876144 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 2 + 2 + 3 + 14 + 8 + 7 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 377017596687 + ... + 377017597329.

It is an arithmetic number, because the mean of its divisors is an integer number (628584268032).

Almost surely, 2^{242422314876144} is an apocalyptic number.

242422314876144 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 242422314876144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402293931540480).

242422314876144 is an abundant number, since it is smaller than the sum of its proper divisors (562165548204816).

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

242422314876144 is a wasteful number, since it uses less digits than its factorization.

242422314876144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1383 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 54.

The spelling of 242422314876144 in words is "two hundred forty-two trillion, four hundred twenty-two billion, three hundred fourteen million, eight hundred seventy-six thousand, one hundred forty-four".