404100434032 has 80 divisors (see below), whose sum is σ = 827725411072. Its totient is φ = 190864097280.

The previous prime is 404100434009. The next prime is 404100434053. The reversal of 404100434032 is 230434001404.

It is a junction number, because it is equal to n+sod(n) for n = 404100433988 and 404100434006.

It is a congruent 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, 3454648 + ... + 3569704.

Almost surely, 2^404100434032 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 404100434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413862705536).

404100434032 is an abundant number, since it is smaller than the sum of its proper divisors (423624977040).

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

404100434032 is a wasteful number, since it uses less digits than its factorization.

404100434032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115266 (or 115260 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 404100434032 its reverse (230434001404), we get a palindrome (634534435436).

The spelling of 404100434032 in words is "four hundred four billion, one hundred million, four hundred thirty-four thousand, thirty-two".