242354010410400 has 288 divisors, whose sum is σ = 901649053767168. Its totient is φ = 55389541248000.

The previous prime is 242354010410383. The next prime is 242354010410417. The reversal of 242354010410400 is 4014010453242.

242354010410400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242354010410383) and next prime (242354010410417).

It is a super-4 number, since 4×242354010410400⁴ (a number of 59 digits) contains 4444 as substring.

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

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, 164764599 + ... + 166229001.

It is an arithmetic number, because the mean of its divisors is an integer number (3130725881136).

Almost surely, 2^{242354010410400} is an apocalyptic number.

242354010410400 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 242354010410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450824526883584).

242354010410400 is an abundant number, since it is smaller than the sum of its proper divisors (659295043356768).

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

242354010410400 is a wasteful number, since it uses less digits than its factorization.

242354010410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474284 (or 1474271 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 242354010410400 its reverse (4014010453242), we get a palindrome (246368020863642).

The spelling of 242354010410400 in words is "two hundred forty-two trillion, three hundred fifty-four billion, ten million, four hundred ten thousand, four hundred".