242101305274400 has 144 divisors (see below), whose sum is σ = 694356701951808. Its totient is φ = 81264773760000.

The previous prime is 242101305274369. The next prime is 242101305274421. The reversal of 242101305274400 is 4472503101242.

It is a super-2 number, since 2×242101305274400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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, 1058020676 + ... + 1058249475.

It is an arithmetic number, because the mean of its divisors is an integer number (4821921541332).

Almost surely, 2^{242101305274400} is an apocalyptic number.

242101305274400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242101305274400 is an abundant number, since it is smaller than the sum of its proper divisors (452255396677408).

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

242101305274400 is a wasteful number, since it uses less digits than its factorization.

242101305274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116270195 (or 2116270182 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 242101305274400 its reverse (4472503101242), we get a palindrome (246573808375642).

The spelling of 242101305274400 in words is "two hundred forty-two trillion, one hundred one billion, three hundred five million, two hundred seventy-four thousand, four hundred".