242407434360 has 256 divisors, whose sum is σ = 919234713600. Its totient is φ = 49762916352.

The previous prime is 242407434337. The next prime is 242407434371. The reversal of 242407434360 is 63434704242.

242407434360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×242407434360³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 104061 + ... + 704019.

It is an arithmetic number, because the mean of its divisors is an integer number (3590760600).

Almost surely, 2^242407434360 is an apocalyptic number.

242407434360 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 242407434360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459617356800).

242407434360 is an abundant number, since it is smaller than the sum of its proper divisors (676827279240).

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

242407434360 is a wasteful number, since it uses less digits than its factorization.

242407434360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600030 (or 600026 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 39.

The spelling of 242407434360 in words is "two hundred forty-two billion, four hundred seven million, four hundred thirty-four thousand, three hundred sixty".