213413415052240 has 80 divisors (see below), whose sum is σ = 534377224918656. Its totient is φ = 78795427392000.

The previous prime is 213413415052207. The next prime is 213413415052241. The reversal of 213413415052240 is 42250514314312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 213413415052240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213413415052241) 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, 19989315 + ... + 28747165.

Almost surely, 2^{213413415052240} is an apocalyptic number.

213413415052240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213413415052240 is an abundant number, since it is smaller than the sum of its proper divisors (320963809866416).

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

213413415052240 is a wasteful number, since it uses less digits than its factorization.

213413415052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781308 (or 8781302 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 213413415052240 its reverse (42250514314312), we get a palindrome (255663929366552).

The spelling of 213413415052240 in words is "two hundred thirteen trillion, four hundred thirteen billion, four hundred fifteen million, fifty-two thousand, two hundred forty".