434413112100 has 144 divisors (see below), whose sum is σ = 1373157278976. Its totient is φ = 105159312000.

The previous prime is 434413112033. The next prime is 434413112101. The reversal of 434413112100 is 1211314434.

It is not an unprimeable number, because it can be changed into a prime (434413112101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2185047 + ... + 2375553.

Almost surely, 2^434413112100 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 434413112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686578639488).

434413112100 is an abundant number, since it is smaller than the sum of its proper divisors (938744166876).

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

434413112100 is a wasteful number, since it uses less digits than its factorization.

434413112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191226 (or 191219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 434413112100 its reverse (1211314434), we get a palindrome (435624426534).

The spelling of 434413112100 in words is "four hundred thirty-four billion, four hundred thirteen million, one hundred twelve thousand, one hundred".