241238145600 has 189 divisors, whose sum is σ = 857626863483. Its totient is φ = 64314455040.

The previous prime is 241238145503. The next prime is 241238145607. The reversal of 241238145600 is 6541832142.

It is a happy number.

The square root of 241238145600 is 491160.

It is a perfect power (a square), and thus also a powerful number.

241238145600 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 3 + 8 + 1 + 45 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12310346304 + 228927799296 = 110952^2 + 478464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (241238145607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58937154 + ... + 58941246.

Almost surely, 2^241238145600 is an apocalyptic number.

241238145600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

241238145600 is the 491160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241238145600

241238145600 is an abundant number, since it is smaller than the sum of its proper divisors (616388717883).

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

241238145600 is an frugal number, since it uses more digits than its factorization.

241238145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8214 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 241238145600 by its sum of digits (36), we get a square (8684573241600 = 2946960²).

241238145600 divided by its sum of digits (36) gives a square (6701059600 = 81860²).

Adding to 241238145600 its reverse (6541832142), we get a palindrome (247779977742).

The spelling of 241238145600 in words is "two hundred forty-one billion, two hundred thirty-eight million, one hundred forty-five thousand, six hundred".