242043244430400 has 378 divisors, whose sum is σ = 1000732530853770. Its totient is φ = 55324169994240.

The previous prime is 242043244430381. The next prime is 242043244430411. The reversal of 242043244430400 is 4034442340242.

242043244430400 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 4 + 3 + 244 + 4 + 3 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21869165896704 + 220174078533696 = 4676448^2 + 14838264^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 170810305 + ... + 172221504.

Almost surely, 2^{242043244430400} is an apocalyptic number.

242043244430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242043244430400 is an abundant number, since it is smaller than the sum of its proper divisors (758689286423370).

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

242043244430400 is a wasteful number, since it uses less digits than its factorization.

242043244430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343031851 (or 343031826 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 242043244430400 its reverse (4034442340242), we get a palindrome (246077686770642).

The spelling of 242043244430400 in words is "two hundred forty-two trillion, forty-three billion, two hundred forty-four million, four hundred thirty thousand, four hundred".