242505212431040 has 112 divisors (see below), whose sum is σ = 621926180592192. Its totient is φ = 89534595526656.

The previous prime is 242505212431037. The next prime is 242505212431117. The reversal of 242505212431040 is 40134212505242.

It is a super-3 number, since 3×242505212431040³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62715122 + ... + 66469518.

It is an arithmetic number, because the mean of its divisors is an integer number (5552912326716).

Almost surely, 2^{242505212431040} is an apocalyptic number.

242505212431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242505212431040 is an abundant number, since it is smaller than the sum of its proper divisors (379420968161152).

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

242505212431040 is a wasteful number, since it uses less digits than its factorization.

242505212431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769954 (or 3769944 counting only the distinct ones).

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

Adding to 242505212431040 its reverse (40134212505242), we get a palindrome (282639424936282).

The spelling of 242505212431040 in words is "two hundred forty-two trillion, five hundred five billion, two hundred twelve million, four hundred thirty-one thousand, forty".