242550441544000 has 224 divisors, whose sum is σ = 637596264108960. Its totient is φ = 91085373440000.

The previous prime is 242550441543997. The next prime is 242550441544009. The reversal of 242550441544000 is 445144055242.

It can be written as a sum of positive squares in 16 ways, for example, as 59474820608064 + 183075620935936 = 7711992^2 + 13530544^2 .

It is a super-2 number, since 2×242550441544000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242550441544009) 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, 52312236 + ... + 56759764.

Almost surely, 2^{242550441544000} is an apocalyptic number.

242550441544000 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 242550441544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318798132054480).

242550441544000 is an abundant number, since it is smaller than the sum of its proper divisors (395045822564960).

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

242550441544000 is a wasteful number, since it uses less digits than its factorization.

242550441544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447974 (or 4447954 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 242550441544000 its reverse (445144055242), we get a palindrome (242995585599242).

The spelling of 242550441544000 in words is "two hundred forty-two trillion, five hundred fifty billion, four hundred forty-one million, five hundred forty-four thousand".