213340305440 has 96 divisors (see below), whose sum is σ = 507021424560. Its totient is φ = 84828749824.

The previous prime is 213340305439. The next prime is 213340305449. The reversal of 213340305440 is 44503043312.

It can be written as a sum of positive squares in 8 ways, for example, as 200772101776 + 12568203664 = 448076^2 + 112108^2 .

It is not an unprimeable number, because it can be changed into a prime (213340305449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20924984 + ... + 20935176.

Almost surely, 2^213340305440 is an apocalyptic number.

213340305440 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 213340305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253510712280).

213340305440 is an abundant number, since it is smaller than the sum of its proper divisors (293681119120).

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

213340305440 is a wasteful number, since it uses less digits than its factorization.

213340305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10974 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 213340305440 its reverse (44503043312), we get a palindrome (257843348752).

The spelling of 213340305440 in words is "two hundred thirteen billion, three hundred forty million, three hundred five thousand, four hundred forty".