434213030020 has 192 divisors, whose sum is σ = 1149169190400. Its totient is φ = 133876592640.

The previous prime is 434213029981. The next prime is 434213030021. The reversal of 434213030020 is 20030312434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 434213029973 and 434213030000.

It is not an unprimeable number, because it can be changed into a prime (434213030021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123039616 + ... + 123043144.

It is an arithmetic number, because the mean of its divisors is an integer number (5985256200).

Almost surely, 2^434213030020 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 434213030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574584595200).

434213030020 is an abundant number, since it is smaller than the sum of its proper divisors (714956160380).

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

434213030020 is a wasteful number, since it uses less digits than its factorization.

434213030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 434213030020 its reverse (20030312434), we get a palindrome (454243342454).

The spelling of 434213030020 in words is "four hundred thirty-four billion, two hundred thirteen million, thirty thousand, twenty".