242100411434240 has 144 divisors (see below), whose sum is σ = 589539339317376. Its totient is φ = 95232171417600.

The previous prime is 242100411434159. The next prime is 242100411434249. The reversal of 242100411434240 is 42434114001242.

It is a super-2 number, since 2×242100411434240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 242100411434197 and 242100411434206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242100411434249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365942789 + ... + 366603771.

It is an arithmetic number, because the mean of its divisors is an integer number (4094023189704).

Almost surely, 2^{242100411434240} is an apocalyptic number.

242100411434240 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 242100411434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294769669658688).

242100411434240 is an abundant number, since it is smaller than the sum of its proper divisors (347438927883136).

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

242100411434240 is an equidigital number, since it uses as much as digits as its factorization.

242100411434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665756 (or 665742 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 242100411434240 its reverse (42434114001242), we get a palindrome (284534525435482).

The spelling of 242100411434240 in words is "two hundred forty-two trillion, one hundred billion, four hundred eleven million, four hundred thirty-four thousand, two hundred forty".