434424234000000 has 448 divisors, whose sum is σ = 1492144478431200. Its totient is φ = 111851712000000.

The previous prime is 434424233999989. The next prime is 434424234000019. The reversal of 434424234000000 is 432424434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 172751655 + ... + 175248345.

Almost surely, 2^{434424234000000} is an apocalyptic number.

434424234000000 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 434424234000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746072239215600).

434424234000000 is an abundant number, since it is smaller than the sum of its proper divisors (1057720244431200).

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

434424234000000 is an frugal number, since it uses more digits than its factorization.

434424234000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496767 (or 2496730 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 434424234000000 its reverse (432424434), we get a palindrome (434424666424434).

The spelling of 434424234000000 in words is "four hundred thirty-four trillion, four hundred twenty-four billion, two hundred thirty-four million", and thus it is an aban number.