404525525404 has 96 divisors (see below), whose sum is σ = 950726117376. Its totient is φ = 145448110080.

The previous prime is 404525525401. The next prime is 404525525441.

404525525404 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404525525401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20678892 + ... + 20698444.

It is an arithmetic number, because the mean of its divisors is an integer number (9903397056).

Almost surely, 2^404525525404 is an apocalyptic number.

404525525404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404525525404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475363058688).

404525525404 is an abundant number, since it is smaller than the sum of its proper divisors (546200591972).

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

404525525404 is a wasteful number, since it uses less digits than its factorization.

404525525404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24755 (or 24753 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

It can be divided in two parts, 404525 and 525404, that added together give a palindrome (929929).

The spelling of 404525525404 in words is "four hundred four billion, five hundred twenty-five million, five hundred twenty-five thousand, four hundred four".