434441411232 has 144 divisors (see below), whose sum is σ = 1182822181632. Its totient is φ = 139475773440.

The previous prime is 434441411141. The next prime is 434441411321. The reversal of 434441411232 is 232114144434.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 434441411193 and 434441411202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153348888 + ... + 153351720.

It is an arithmetic number, because the mean of its divisors is an integer number (8214042928).

Almost surely, 2^434441411232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434441411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591411090816).

434441411232 is an abundant number, since it is smaller than the sum of its proper divisors (748380770400).

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

434441411232 is a wasteful number, since it uses less digits than its factorization.

434441411232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3096 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 434441411232 its reverse (232114144434), we get a palindrome (666555555666).

The spelling of 434441411232 in words is "four hundred thirty-four billion, four hundred forty-one million, four hundred eleven thousand, two hundred thirty-two".