434010000000 has 1024 divisors, whose sum is σ = 1635183313920. Its totient is φ = 101376000000.

The previous prime is 434009999957. The next prime is 434010000029. The reversal of 434010000000 is 10434.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11729999982 + ... + 11730000018.

It is an arithmetic number, because the mean of its divisors is an integer number (1596858705).

Almost surely, 2^434010000000 is an apocalyptic number.

434010000000 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 434010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817591656960).

434010000000 is an abundant number, since it is smaller than the sum of its proper divisors (1201173313920).

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

434010000000 is an frugal number, since it uses more digits than its factorization.

434010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 434010000000 its reverse (10434), we get a palindrome (434010010434).

The spelling of 434010000000 in words is "four hundred thirty-four billion, ten million", and thus it is an aban number.