434201033420 has 288 divisors, whose sum is σ = 1251275848704. Its totient is φ = 124661913600.

The previous prime is 434201033407. The next prime is 434201033429. The reversal of 434201033420 is 24330102434.

It is a self number, because there is not a number n which added to its sum of digits gives 434201033420.

It is not an unprimeable number, because it can be changed into a prime (434201033429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8588015 + ... + 8638425.

It is an arithmetic number, because the mean of its divisors is an integer number (4344707808).

Almost surely, 2^434201033420 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 434201033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625637924352).

434201033420 is an abundant number, since it is smaller than the sum of its proper divisors (817074815284).

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

434201033420 is a wasteful number, since it uses less digits than its factorization.

434201033420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50509 (or 50500 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 434201033420 its reverse (24330102434), we get a palindrome (458531135854).

The spelling of 434201033420 in words is "four hundred thirty-four billion, two hundred one million, thirty-three thousand, four hundred twenty".