213244332440000 has 280 divisors, whose sum is σ = 532167614352000. Its totient is φ = 84751920000000.

The previous prime is 213244332439991. The next prime is 213244332440089. The reversal of 213244332440000 is 44233442312.

213244332440000 is digitally balanced in base 2, 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5882421875 + ... + 5882458125.

Almost surely, 2^{213244332440000} is an apocalyptic number.

213244332440000 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 213244332440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266083807176000).

213244332440000 is an abundant number, since it is smaller than the sum of its proper divisors (318923281912000).

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

213244332440000 is an equidigital number, since it uses as much as digits as its factorization.

213244332440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37221 (or 37196 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 213244332440000 its reverse (44233442312), we get a palindrome (213288565882312).

The spelling of 213244332440000 in words is "two hundred thirteen trillion, two hundred forty-four billion, three hundred thirty-two million, four hundred forty thousand".