434200001312 has 192 divisors, whose sum is σ = 1123938063360. Its totient is φ = 159967872000.

The previous prime is 434200001303. The next prime is 434200001329. The reversal of 434200001312 is 213100002434.

It is a super-2 number, since 2×434200001312² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26068187 + ... + 26084837.

It is an arithmetic number, because the mean of its divisors is an integer number (5853844080).

Almost surely, 2^434200001312 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 434200001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561969031680).

434200001312 is an abundant number, since it is smaller than the sum of its proper divisors (689738062048).

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

434200001312 is a wasteful number, since it uses less digits than its factorization.

434200001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17255 (or 17247 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 434200001312 its reverse (213100002434), we get a palindrome (647300003746).

The spelling of 434200001312 in words is "four hundred thirty-four billion, two hundred million, one thousand, three hundred twelve".