242541214401420 has 144 divisors (see below), whose sum is σ = 804972505323168. Its totient is φ = 58623395604480.

The previous prime is 242541214401377. The next prime is 242541214401449. The reversal of 242541214401420 is 24104412145242.

242541214401420 is a `hidden beast` number, since 2 + 4 + 2 + 54 + 1 + 21 + 440 + 142 + 0 = 666.

242541214401420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 181076899 + ... + 182411418.

It is an arithmetic number, because the mean of its divisors is an integer number (5590086842522).

Almost surely, 2^{242541214401420} is an apocalyptic number.

242541214401420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242541214401420 is an abundant number, since it is smaller than the sum of its proper divisors (562431290921748).

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

242541214401420 is a wasteful number, since it uses less digits than its factorization.

242541214401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363488680 (or 363488675 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 242541214401420 its reverse (24104412145242), we get a palindrome (266645626546662).

The spelling of 242541214401420 in words is "two hundred forty-two trillion, five hundred forty-one billion, two hundred fourteen million, four hundred one thousand, four hundred twenty".