242151345440000 has 90 divisors (see below), whose sum is σ = 604002641667810. Its totient is φ = 96860538112000.

The previous prime is 242151345439961. The next prime is 242151345440029. The reversal of 242151345440000 is 44543151242.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 19152316784896 + 222999028655104 = 4376336^2 + 14933152^2 .

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 756562955 + ... + 756882954.

Almost surely, 2^{242151345440000} is an apocalyptic number.

242151345440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242151345440000 is an abundant number, since it is smaller than the sum of its proper divisors (361851296227810).

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

242151345440000 is an frugal number, since it uses more digits than its factorization.

242151345440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513445945 (or 1513445916 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 242151345440000 its reverse (44543151242), we get a palindrome (242195888591242).

The spelling of 242151345440000 in words is "two hundred forty-two trillion, one hundred fifty-one billion, three hundred forty-five million, four hundred forty thousand".