211402104144 has 240 divisors, whose sum is σ = 696032326080. Its totient is φ = 54672414720.

The previous prime is 211402104143. The next prime is 211402104169. The reversal of 211402104144 is 441401204112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211402104143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6010642 + ... + 6045710.

It is an arithmetic number, because the mean of its divisors is an integer number (2900134692).

Almost surely, 2^211402104144 is an apocalyptic number.

211402104144 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 211402104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348016163040).

211402104144 is an abundant number, since it is smaller than the sum of its proper divisors (484630221936).

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

211402104144 is a wasteful number, since it uses less digits than its factorization.

211402104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35338 (or 35325 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 211402104144 its reverse (441401204112), we get a palindrome (652803308256).

The spelling of 211402104144 in words is "two hundred eleven billion, four hundred two million, one hundred four thousand, one hundred forty-four".