434424242010 has 256 divisors, whose sum is σ = 1231672780800. Its totient is φ = 96913843200.

The previous prime is 434424242003. The next prime is 434424242011. The reversal of 434424242010 is 10242424434.

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

It is not an unprimeable number, because it can be changed into a prime (434424242011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188142736 + ... + 188145044.

It is an arithmetic number, because the mean of its divisors is an integer number (4811221800).

Almost surely, 2^434424242010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434424242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615836390400).

434424242010 is an abundant number, since it is smaller than the sum of its proper divisors (797248538790).

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

434424242010 is a wasteful number, since it uses less digits than its factorization.

434424242010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 434424242010 its reverse (10242424434), we get a palindrome (444666666444).

It can be divided in two parts, 43442424 and 2010, that added together give a palindrome (43444434).

The spelling of 434424242010 in words is "four hundred thirty-four billion, four hundred twenty-four million, two hundred forty-two thousand, ten".