242301456000 has 1280 divisors, whose sum is σ = 959903493120. Its totient is φ = 60466176000.

The previous prime is 242301455993. The next prime is 242301456013. The reversal of 242301456000 is 654103242.

242301456000 is a `hidden beast` number, since 2 + 42 + 3 + 0 + 14 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1486511919 + ... + 1486512081.

It is an arithmetic number, because the mean of its divisors is an integer number (749924604).

Almost surely, 2^242301456000 is an apocalyptic number.

242301456000 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 242301456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479951746560).

242301456000 is an abundant number, since it is smaller than the sum of its proper divisors (717602037120).

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

242301456000 is a wasteful number, since it uses less digits than its factorization.

242301456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 242301456000 its reverse (654103242), we get a palindrome (242955559242).

The spelling of 242301456000 in words is "two hundred forty-two billion, three hundred one million, four hundred fifty-six thousand".