213244040000 has 280 divisors, whose sum is σ = 569641256448. Its totient is φ = 78946560000.

The previous prime is 213244039997. The next prime is 213244040033. The reversal of 213244040000 is 40442312.

213244040000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 39 ways as a sum of consecutive naturals, for example, 28516262 + ... + 28523738.

Almost surely, 2^213244040000 is an apocalyptic number.

213244040000 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 213244040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284820628224).

213244040000 is an abundant number, since it is smaller than the sum of its proper divisors (356397216448).

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

213244040000 is an equidigital number, since it uses as much as digits as its factorization.

213244040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563 (or 7538 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 213244040000 its reverse (40442312), we get a palindrome (213284482312).

The spelling of 213244040000 in words is "two hundred thirteen billion, two hundred forty-four million, forty thousand".