242804390400 has 1920 divisors, whose sum is σ = 1112441299200. Its totient is φ = 51137740800.

The previous prime is 242804390393. The next prime is 242804390401. The reversal of 242804390400 is 4093408242.

242804390400 is a `hidden beast` number, since 242 + 8 + 0 + 4 + 3 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×242804390400² (a number of 24 digits) contains 22 as substring.

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 (242804390401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14282611192 + ... + 14282611208.

It is an arithmetic number, because the mean of its divisors is an integer number (579396510).

Almost surely, 2^242804390400 is an apocalyptic number.

242804390400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242804390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556220649600).

242804390400 is an abundant number, since it is smaller than the sum of its proper divisors (869636908800).

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

242804390400 is a wasteful number, since it uses less digits than its factorization.

242804390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 242804390400 its reverse (4093408242), we get a palindrome (246897798642).

The spelling of 242804390400 in words is "two hundred forty-two billion, eight hundred four million, three hundred ninety thousand, four hundred".