211241003424 has 96 divisors (see below), whose sum is σ = 605164996800. Its totient is φ = 63986227200.

The previous prime is 211241003401. The next prime is 211241003437. The reversal of 211241003424 is 424300142112.

211241003424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 211241003394 and 211241003403.

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, 2622502 + ... + 2701850.

It is an arithmetic number, because the mean of its divisors is an integer number (6303802050).

Almost surely, 2^211241003424 is an apocalyptic number.

211241003424 is a gapful number since it is divisible by the number (24) 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 211241003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302582498400).

211241003424 is an abundant number, since it is smaller than the sum of its proper divisors (393923993376).

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

211241003424 is a wasteful number, since it uses less digits than its factorization.

211241003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81894 (or 81886 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211241003424 its reverse (424300142112), we get a palindrome (635541145536).

The spelling of 211241003424 in words is "two hundred eleven billion, two hundred forty-one million, three thousand, four hundred twenty-four".