404311413300 has 288 divisors, whose sum is σ = 1245671771904. Its totient is φ = 101038080000.

The previous prime is 404311413299. The next prime is 404311413307. The reversal of 404311413300 is 3314113404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404311413307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67596310 + ... + 67602290.

It is an arithmetic number, because the mean of its divisors is an integer number (4325249208).

Almost surely, 2^404311413300 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 404311413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622835885952).

404311413300 is an abundant number, since it is smaller than the sum of its proper divisors (841360358604).

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

404311413300 is a wasteful number, since it uses less digits than its factorization.

404311413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 404311413300 its reverse (3314113404), we get a palindrome (407625526704).

The spelling of 404311413300 in words is "four hundred four billion, three hundred eleven million, four hundred thirteen thousand, three hundred".