242332234043400 has 144 divisors (see below), whose sum is σ = 814290411179700. Its totient is φ = 64585562480640.

The previous prime is 242332234043369. The next prime is 242332234043411. The reversal of 242332234043400 is 4340432233242.

242332234043400 is a `hidden beast` number, since 2 + 4 + 23 + 3 + 223 + 4 + 0 + 4 + 3 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 74174777300484 + 168157456742916 = 8612478^2 + 12967554^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34682385 + ... + 41079584.

Almost surely, 2^{242332234043400} is an apocalyptic number.

242332234043400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242332234043400 is an abundant number, since it is smaller than the sum of its proper divisors (571958177136300).

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

242332234043400 is a wasteful number, since it uses less digits than its factorization.

242332234043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75763768 (or 75763756 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 242332234043400 its reverse (4340432233242), we get a palindrome (246672666276642).

The spelling of 242332234043400 in words is "two hundred forty-two trillion, three hundred thirty-two billion, two hundred thirty-four million, forty-three thousand, four hundred".