242000505414 has 128 divisors (see below), whose sum is σ = 577078464000. Its totient is φ = 74946985344.

The previous prime is 242000505413. The next prime is 242000505421. The reversal of 242000505414 is 414505000242.

242000505414 is a `hidden beast` number, since 242 + 0 + 0 + 0 + 5 + 0 + 5 + 414 = 666.

It is a super-2 number, since 2×242000505414² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242000505413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15734232 + ... + 15749604.

It is an arithmetic number, because the mean of its divisors is an integer number (4508425500).

Almost surely, 2^242000505414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242000505414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288539232000).

242000505414 is an abundant number, since it is smaller than the sum of its proper divisors (335077958586).

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

242000505414 is a wasteful number, since it uses less digits than its factorization.

242000505414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15699 (or 15693 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 242000505414 its reverse (414505000242), we get a palindrome (656505505656).

The spelling of 242000505414 in words is "two hundred forty-two billion, five hundred five thousand, four hundred fourteen".