434030144100 has 72 divisors (see below), whose sum is σ = 1435193016768. Its totient is φ = 99206889600.

The previous prime is 434030144089. The next prime is 434030144137. The reversal of 434030144100 is 1441030434.

It is a super-3 number, since 3×434030144100³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103338411 + ... + 103342610.

It is an arithmetic number, because the mean of its divisors is an integer number (19933236344).

Almost surely, 2^434030144100 is an apocalyptic number.

It is an amenable number.

434030144100 is an abundant number, since it is smaller than the sum of its proper divisors (1001162872668).

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

434030144100 is a wasteful number, since it uses less digits than its factorization.

434030144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206681045 (or 206681038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434030144100 its reverse (1441030434), we get a palindrome (435471174534).

The spelling of 434030144100 in words is "four hundred thirty-four billion, thirty million, one hundred forty-four thousand, one hundred".