434001134000 has 240 divisors, whose sum is σ = 1231582262976. Its totient is φ = 147479808000.

The previous prime is 434001133987. The next prime is 434001134051. The reversal of 434001134000 is 431100434.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 11054405 + ... + 11093595.

Almost surely, 2^434001134000 is an apocalyptic number.

434001134000 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 434001134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615791131488).

434001134000 is an abundant number, since it is smaller than the sum of its proper divisors (797581128976).

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

434001134000 is a wasteful number, since it uses less digits than its factorization.

434001134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39341 (or 39318 counting only the distinct ones).

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

Adding to 434001134000 its reverse (431100434), we get a palindrome (434432234434).

The spelling of 434001134000 in words is "four hundred thirty-four billion, one million, one hundred thirty-four thousand".