211404224432 has 80 divisors (see below), whose sum is σ = 440289379200. Its totient is φ = 98031098880.

The previous prime is 211404224401. The next prime is 211404224443. The reversal of 211404224432 is 234422404112.

It is a happy number.

211404224432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211404224432² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211404224395 and 211404224404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4298123 + ... + 4347029.

It is an arithmetic number, because the mean of its divisors is an integer number (5503617240).

Almost surely, 2^211404224432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211404224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220144689600).

211404224432 is an abundant number, since it is smaller than the sum of its proper divisors (228885154768).

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

211404224432 is a wasteful number, since it uses less digits than its factorization.

211404224432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49234 (or 49228 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 211404224432 its reverse (234422404112), we get a palindrome (445826628544).

The spelling of 211404224432 in words is "two hundred eleven billion, four hundred four million, two hundred twenty-four thousand, four hundred thirty-two".