434322020000 has 480 divisors, whose sum is σ = 1205197963200. Its totient is φ = 152652800000.

The previous prime is 434322019997. The next prime is 434322020017. The reversal of 434322020000 is 20223434.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1614579866 + ... + 1614580134.

It is an arithmetic number, because the mean of its divisors is an integer number (2510829090).

Almost surely, 2^434322020000 is an apocalyptic number.

434322020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434322020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602598981600).

434322020000 is an abundant number, since it is smaller than the sum of its proper divisors (770875943200).

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

434322020000 is a wasteful number, since it uses less digits than its factorization.

434322020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 434322020000 its reverse (20223434), we get a palindrome (434342243434).

The spelling of 434322020000 in words is "four hundred thirty-four billion, three hundred twenty-two million, twenty thousand".