242244224040 has 256 divisors, whose sum is σ = 895972492800. Its totient is φ = 51023314944.

The previous prime is 242244224039. The next prime is 242244224093. The reversal of 242244224040 is 40422442242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242244223989 and 242244224007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6456856 + ... + 6494264.

It is an arithmetic number, because the mean of its divisors is an integer number (3499892550).

Almost surely, 2^242244224040 is an apocalyptic number.

242244224040 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 242244224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447986246400).

242244224040 is an abundant number, since it is smaller than the sum of its proper divisors (653728268760).

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

242244224040 is a wasteful number, since it uses less digits than its factorization.

242244224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38036 (or 38032 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 242244224040 its reverse (40422442242), we get a palindrome (282666666282).

The spelling of 242244224040 in words is "two hundred forty-two billion, two hundred forty-four million, two hundred twenty-four thousand, forty".