404100403200 has 624 divisors, whose sum is σ = 1598849125440. Its totient is φ = 99462021120.

The previous prime is 404100403171. The next prime is 404100403211. The reversal of 404100403200 is 2304001404.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35936779 + ... + 35948021.

Almost surely, 2^404100403200 is an apocalyptic number.

404100403200 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 404100403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799424562720).

404100403200 is an abundant number, since it is smaller than the sum of its proper divisors (1194748722240).

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

404100403200 is a wasteful number, since it uses less digits than its factorization.

404100403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11299 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 404100403200 its reverse (2304001404), we get a palindrome (406404404604).

The spelling of 404100403200 in words is "four hundred four billion, one hundred million, four hundred three thousand, two hundred".