211421320400 has 120 divisors (see below), whose sum is σ = 513426689184. Its totient is φ = 83656512000.

The previous prime is 211421320391. The next prime is 211421320421. The reversal of 211421320400 is 4023124112.

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

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 23 ways as a sum of consecutive naturals, for example, 75425399 + ... + 75428201.

Almost surely, 2^211421320400 is an apocalyptic number.

211421320400 is a gapful number since it is divisible by the number (20) 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 211421320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256713344592).

211421320400 is an abundant number, since it is smaller than the sum of its proper divisors (302005368784).

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

211421320400 is a wasteful number, since it uses less digits than its factorization.

211421320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4778 counting only the distinct ones).

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

Adding to 211421320400 its reverse (4023124112), we get a palindrome (215444444512).

The spelling of 211421320400 in words is "two hundred eleven billion, four hundred twenty-one million, three hundred twenty thousand, four hundred".