242554305403400 has 192 divisors, whose sum is σ = 576533372716800. Its totient is φ = 94859245301760.

The previous prime is 242554305403391. The next prime is 242554305403409. The reversal of 242554305403400 is 4304503455242.

It is an interprime number because it is at equal distance from previous prime (242554305403391) and next prime (242554305403409).

It is a super-3 number, since 3×242554305403400³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (242554305403409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66580921979 + ... + 66580925621.

It is an arithmetic number, because the mean of its divisors is an integer number (3002777982900).

Almost surely, 2^{242554305403400} is an apocalyptic number.

242554305403400 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 242554305403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288266686358400).

242554305403400 is an abundant number, since it is smaller than the sum of its proper divisors (333979067313400).

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

242554305403400 is a wasteful number, since it uses less digits than its factorization.

242554305403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 41.

Adding to 242554305403400 its reverse (4304503455242), we get a palindrome (246858808858642).

The spelling of 242554305403400 in words is "two hundred forty-two trillion, five hundred fifty-four billion, three hundred five million, four hundred three thousand, four hundred".