16404211200 has 480 divisors, whose sum is σ = 61823605536. Its totient is φ = 3798466560.

The previous prime is 16404211199. The next prime is 16404211223. The reversal of 16404211200 is 211240461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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, 8485434 + ... + 8487366.

Almost surely, 2^16404211200 is an apocalyptic number.

16404211200 is a gapful number since it is divisible by the number (10) 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 16404211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30911802768).

16404211200 is an abundant number, since it is smaller than the sum of its proper divisors (45419394336).

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

16404211200 is a wasteful number, since it uses less digits than its factorization.

16404211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 16404211200 its reverse (211240461), we get a palindrome (16615451661).

The spelling of 16404211200 in words is "sixteen billion, four hundred four million, two hundred eleven thousand, two hundred".