213233213440 has 336 divisors, whose sum is σ = 576855521928. Its totient is φ = 75209637888.

The previous prime is 213233213437. The next prime is 213233213477. The reversal of 213233213440 is 44312332312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 145350037504 + 67883175936 = 381248^2 + 260544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213233213399 and 213233213408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281681542 + ... + 281682298.

Almost surely, 2^213233213440 is an apocalyptic number.

213233213440 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 213233213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288427760964).

213233213440 is an abundant number, since it is smaller than the sum of its proper divisors (363622308488).

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

213233213440 is an equidigital number, since it uses as much as digits as its factorization.

213233213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 213233213440 its reverse (44312332312), we get a palindrome (257545545752).

The spelling of 213233213440 in words is "two hundred thirteen billion, two hundred thirty-three million, two hundred thirteen thousand, four hundred forty".