242002023224400 has 240 divisors, whose sum is σ = 871725631197120. Its totient is φ = 63756356083200.

The previous prime is 242002023224359. The next prime is 242002023224411. The reversal of 242002023224400 is 4422320200242.

242002023224400 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 0 + 2 + 0 + 232 + 24 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134089111 + ... + 135881910.

It is an arithmetic number, because the mean of its divisors is an integer number (3632190129988).

Almost surely, 2^{242002023224400} is an apocalyptic number.

242002023224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242002023224400 is an abundant number, since it is smaller than the sum of its proper divisors (629723607972720).

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

242002023224400 is a wasteful number, since it uses less digits than its factorization.

242002023224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269971131 (or 269971114 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 242002023224400 its reverse (4422320200242), we get a palindrome (246424343424642).

The spelling of 242002023224400 in words is "two hundred forty-two trillion, two billion, twenty-three million, two hundred twenty-four thousand, four hundred".