404040134400 has 432 divisors, whose sum is σ = 1527281247744. Its totient is φ = 92147466240.

The previous prime is 404040134327. The next prime is 404040134417. The reversal of 404040134400 is 4431040404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65449714 + ... + 65455886.

Almost surely, 2^404040134400 is an apocalyptic number.

404040134400 is a gapful number since it is divisible by the number (40) 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 404040134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763640623872).

404040134400 is an abundant number, since it is smaller than the sum of its proper divisors (1123241113344).

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

404040134400 is a wasteful number, since it uses less digits than its factorization.

404040134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696 (or 6677 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 404040134400 its reverse (4431040404), we get a palindrome (408471174804).

The spelling of 404040134400 in words is "four hundred four billion, forty million, one hundred thirty-four thousand, four hundred".