242244042002400 has 144 divisors (see below), whose sum is σ = 788512845947904. Its totient is φ = 64597715719680.

The previous prime is 242244042002399. The next prime is 242244042002411. The reversal of 242244042002400 is 4200240442242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245659137 + ... + 246643263.

It is an arithmetic number, because the mean of its divisors is an integer number (5475783652416).

Almost surely, 2^{242244042002400} is an apocalyptic number.

242244042002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242244042002400 is an abundant number, since it is smaller than the sum of its proper divisors (546268803945504).

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

242244042002400 is a wasteful number, since it uses less digits than its factorization.

242244042002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086713 (or 1086700 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 242244042002400 its reverse (4200240442242), we get a palindrome (246444282444642).

The spelling of 242244042002400 in words is "two hundred forty-two trillion, two hundred forty-four billion, forty-two million, two thousand, four hundred".