242132545014420 has 192 divisors, whose sum is σ = 711269750467584. Its totient is φ = 61475923461120.

The previous prime is 242132545014403. The next prime is 242132545014431. The reversal of 242132545014420 is 24410545231242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122038039 + ... + 124006241.

It is an arithmetic number, because the mean of its divisors is an integer number (3704529950352).

Almost surely, 2^{242132545014420} is an apocalyptic number.

242132545014420 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 242132545014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355634875233792).

242132545014420 is an abundant number, since it is smaller than the sum of its proper divisors (469137205453164).

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

242132545014420 is a wasteful number, since it uses less digits than its factorization.

242132545014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969462 (or 1969460 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 242132545014420 in words is "two hundred forty-two trillion, one hundred thirty-two billion, five hundred forty-five million, fourteen thousand, four hundred twenty".