434123220000 has 480 divisors, whose sum is σ = 1548661669632. Its totient is φ = 106002432000.

The previous prime is 434123219969. The next prime is 434123220001. The reversal of 434123220000 is 22321434.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (434123220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37734249 + ... + 37745751.

Almost surely, 2^434123220000 is an apocalyptic number.

434123220000 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 434123220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774330834816).

434123220000 is an abundant number, since it is smaller than the sum of its proper divisors (1114538449632).

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

434123220000 is a wasteful number, since it uses less digits than its factorization.

434123220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11590 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 434123220000 its reverse (22321434), we get a palindrome (434145541434).

The spelling of 434123220000 in words is "four hundred thirty-four billion, one hundred twenty-three million, two hundred twenty thousand".