434413124540 has 72 divisors (see below), whose sum is σ = 970464141360. Its totient is φ = 162875142144.

The previous prime is 434413124531. The next prime is 434413124573. The reversal of 434413124540 is 45421314434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 434413124540.

It is a congruent number.

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, 126538664 + ... + 126542096.

It is an arithmetic number, because the mean of its divisors is an integer number (13478668630).

Almost surely, 2^434413124540 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 434413124540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485232070680).

434413124540 is an abundant number, since it is smaller than the sum of its proper divisors (536051016820).

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

434413124540 is an equidigital number, since it uses as much as digits as its factorization.

434413124540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 434413124540 its reverse (45421314434), we get a palindrome (479834438974).

The spelling of 434413124540 in words is "four hundred thirty-four billion, four hundred thirteen million, one hundred twenty-four thousand, five hundred forty".