242100102758400 has 792 divisors, whose sum is σ = 918301655121084. Its totient is φ = 60760365465600.

The previous prime is 242100102758377. The next prime is 242100102758407. The reversal of 242100102758400 is 4857201001242.

242100102758400 is a `hidden beast` number, since 2 + 4 + 210 + 0 + 10 + 27 + 5 + 8 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 117129882894336 + 124970219864064 = 10822656^2 + 11179008^2 .

It is a super-3 number, since 3×242100102758400³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (242100102758407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8021591310 + ... + 8021621490.

Almost surely, 2^{242100102758400} is an apocalyptic number.

242100102758400 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 242100102758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459150827560542).

242100102758400 is an abundant number, since it is smaller than the sum of its proper divisors (676201552362684).

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

242100102758400 is an frugal number, since it uses more digits than its factorization.

242100102758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30256 (or 30208 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 242100102758400 its reverse (4857201001242), we get a palindrome (246957303759642).

The spelling of 242100102758400 in words is "two hundred forty-two trillion, one hundred billion, one hundred two million, seven hundred fifty-eight thousand, four hundred".