434112400404 has 96 divisors (see below), whose sum is σ = 1140043968000. Its totient is φ = 142832222208.

The previous prime is 434112400361. The next prime is 434112400411. The reversal of 434112400404 is 404004211434.

434112400404 is a `hidden beast` number, since 4 + 3 + 4 + 11 + 240 + 0 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 55701532 + ... + 55709324.

It is an arithmetic number, because the mean of its divisors is an integer number (11875458000).

Almost surely, 2^434112400404 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 434112400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570021984000).

434112400404 is an abundant number, since it is smaller than the sum of its proper divisors (705931567596).

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

434112400404 is a wasteful number, since it uses less digits than its factorization.

434112400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14414 (or 14406 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 434112400404 its reverse (404004211434), we get a palindrome (838116611838).

The spelling of 434112400404 in words is "four hundred thirty-four billion, one hundred twelve million, four hundred thousand, four hundred four".