242442040400 has 120 divisors (see below), whose sum is σ = 667819411584. Its totient is φ = 82855411200.

The previous prime is 242442040387. The next prime is 242442040409. The reversal of 242442040400 is 4040244242.

242442040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242442040400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242442040409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 731594 + ... + 1010006.

Almost surely, 2^242442040400 is an apocalyptic number.

242442040400 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 242442040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333909705792).

242442040400 is an abundant number, since it is smaller than the sum of its proper divisors (425377371184).

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

242442040400 is a wasteful number, since it uses less digits than its factorization.

242442040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278749 (or 278738 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 242442040400 its reverse (4040244242), we get a palindrome (246482284642).

The spelling of 242442040400 in words is "two hundred forty-two billion, four hundred forty-two million, forty thousand, four hundred".