213202440000 has 840 divisors, whose sum is σ = 882342160128. Its totient is φ = 48629760000.

The previous prime is 213202439999. The next prime is 213202440019. The reversal of 213202440000 is 44202312.

213202440000 is a `hidden beast` number, since 21 + 3 + 202 + 440 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67318417 + ... + 67321583.

Almost surely, 2^213202440000 is an apocalyptic number.

213202440000 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 213202440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441171080064).

213202440000 is an abundant number, since it is smaller than the sum of its proper divisors (669139720128).

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

213202440000 is a wasteful number, since it uses less digits than its factorization.

213202440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 213202440000 its reverse (44202312), we get a palindrome (213246642312).

The spelling of 213202440000 in words is "two hundred thirteen billion, two hundred two million, four hundred forty thousand".