213231042240 has 336 divisors, whose sum is σ = 731707561728. Its totient is φ = 52509298688.

The previous prime is 213231042209. The next prime is 213231042251. The reversal of 213231042240 is 42240132312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213231042240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18563539 + ... + 18575021.

Almost surely, 2^213231042240 is an apocalyptic number.

213231042240 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 213231042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365853780864).

213231042240 is an abundant number, since it is smaller than the sum of its proper divisors (518476519488).

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

213231042240 is a wasteful number, since it uses less digits than its factorization.

213231042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11584 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213231042240 its reverse (42240132312), we get a palindrome (255471174552).

The spelling of 213231042240 in words is "two hundred thirteen billion, two hundred thirty-one million, forty-two thousand, two hundred forty".