434001040144 has 80 divisors (see below), whose sum is σ = 974941631488. Its totient is φ = 183306571776.

The previous prime is 434001040139. The next prime is 434001040223. The reversal of 434001040144 is 441040100434.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10583809 + ... + 10624735.

Almost surely, 2^434001040144 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 434001040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487470815744).

434001040144 is an abundant number, since it is smaller than the sum of its proper divisors (540940591344).

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

434001040144 is a wasteful number, since it uses less digits than its factorization.

434001040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42312 (or 42306 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 434001040144 its reverse (441040100434), we get a palindrome (875041140578).

The spelling of 434001040144 in words is "four hundred thirty-four billion, one million, forty thousand, one hundred forty-four".