242128040 has 128 divisors (see below), whose sum is σ = 685670400. Its totient is φ = 74753280.

The previous prime is 242128027. The next prime is 242128043. The reversal of 242128040 is 40821242.

It is a happy number.

242128040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242127997 and 242128015.

It is not an unprimeable number, because it can be changed into a prime (242128043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390851 + ... + 391469.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^242128040 is an apocalyptic number.

242128040 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 242128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342835200).

242128040 is an abundant number, since it is smaller than the sum of its proper divisors (443542360).

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

242128040 is a wasteful number, since it uses less digits than its factorization.

242128040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 242128040 is about 15560.4640033644. The cubic root of 242128040 is about 623.2778532286.

Adding to 242128040 its reverse (40821242), we get a palindrome (282949282).

The spelling of 242128040 in words is "two hundred forty-two million, one hundred twenty-eight thousand, forty".