404134424100 has 216 divisors, whose sum is σ = 1391841228960. Its totient is φ = 97266816000.

The previous prime is 404134424087. The next prime is 404134424123. The reversal of 404134424100 is 1424431404.

404134424100 is a `hidden beast` number, since 4 + 0 + 4 + 134 + 424 + 100 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1229260 + ... + 1522940.

Almost surely, 2^404134424100 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 404134424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695920614480).

404134424100 is an abundant number, since it is smaller than the sum of its proper divisors (987706804860).

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

404134424100 is a wasteful number, since it uses less digits than its factorization.

404134424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293851 (or 293841 counting only the distinct ones).

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

Adding to 404134424100 its reverse (1424431404), we get a palindrome (405558855504).

The spelling of 404134424100 in words is "four hundred four billion, one hundred thirty-four million, four hundred twenty-four thousand, one hundred".