242330552042000 has 160 divisors (see below), whose sum is σ = 604884266548224. Its totient is φ = 93801155328000.

The previous prime is 242330552041993. The next prime is 242330552042009. The reversal of 242330552042000 is 240255033242.

It is not an unprimeable number, because it can be changed into a prime (242330552042009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1618559144 + ... + 1618708856.

Almost surely, 2^{242330552042000} is an apocalyptic number.

242330552042000 is a gapful number since it is divisible by the number (20) 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 242330552042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302442133274112).

242330552042000 is an abundant number, since it is smaller than the sum of its proper divisors (362553714506224).

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

242330552042000 is a wasteful number, since it uses less digits than its factorization.

242330552042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175874 (or 175858 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 242330552042000 in words is "two hundred forty-two trillion, three hundred thirty billion, five hundred fifty-two million, forty-two thousand".