211404314420240 has 80 divisors (see below), whose sum is σ = 491990532465600. Its totient is φ = 84479944972800.

The previous prime is 211404314420239. The next prime is 211404314420249. The reversal of 211404314420240 is 42024413404112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 211404314420197 and 211404314420206.

It is not an unprimeable number, because it can be changed into a prime (211404314420249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530504747 + ... + 530903093.

It is an arithmetic number, because the mean of its divisors is an integer number (6149881655820).

Almost surely, 2^{211404314420240} is an apocalyptic number.

211404314420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211404314420240 is an abundant number, since it is smaller than the sum of its proper divisors (280586218045360).

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

211404314420240 is a wasteful number, since it uses less digits than its factorization.

211404314420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404760 (or 404754 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 211404314420240 its reverse (42024413404112), we get a palindrome (253428727824352).

The spelling of 211404314420240 in words is "two hundred eleven trillion, four hundred four billion, three hundred fourteen million, four hundred twenty thousand, two hundred forty".