211404310400 has 48 divisors (see below), whose sum is σ = 522234718440. Its totient is φ = 84561722880.

The previous prime is 211404310387. The next prime is 211404310409. The reversal of 211404310400 is 4013404112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211404310409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 33028724 + ... + 33035123.

Almost surely, 2^211404310400 is an apocalyptic number.

211404310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211404310400 is an abundant number, since it is smaller than the sum of its proper divisors (310830408040).

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

211404310400 is an equidigital number, since it uses as much as digits as its factorization.

211404310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66063871 (or 66063854 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211404310400 its reverse (4013404112), we get a palindrome (215417714512).

The spelling of 211404310400 in words is "two hundred eleven billion, four hundred four million, three hundred ten thousand, four hundred".