404211100400 has 120 divisors (see below), whose sum is σ = 988397571840. Its totient is φ = 158811943680.

The previous prime is 404211100399. The next prime is 404211100477. The reversal of 404211100400 is 4001112404.

It is a super-2 number, since 2×404211100400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31310747 + ... + 31323653.

It is an arithmetic number, because the mean of its divisors is an integer number (8236646432).

Almost surely, 2^404211100400 is an apocalyptic number.

404211100400 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 404211100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494198785920).

404211100400 is an abundant number, since it is smaller than the sum of its proper divisors (584186471440).

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

404211100400 is a wasteful number, since it uses less digits than its factorization.

404211100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14311 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 404211100400 its reverse (4001112404), we get a palindrome (408212212804).

The spelling of 404211100400 in words is "four hundred four billion, two hundred eleven million, one hundred thousand, four hundred".