242000354320320 has 112 divisors (see below), whose sum is σ = 768719291908608. Its totient is φ = 64502505661440.

The previous prime is 242000354320303. The next prime is 242000354320349. The reversal of 242000354320320 is 23023453000242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58390276 + ... + 62397315.

Almost surely, 2^{242000354320320} is an apocalyptic number.

242000354320320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242000354320320 is an abundant number, since it is smaller than the sum of its proper divisors (526718937588288).

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

242000354320320 is a wasteful number, since it uses less digits than its factorization.

242000354320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120789698 (or 120789688 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The spelling of 242000354320320 in words is "two hundred forty-two trillion, three hundred fifty-four million, three hundred twenty thousand, three hundred twenty".