213340203242400 has 576 divisors, whose sum is σ = 788843910758400. Its totient is φ = 49646660382720.

The previous prime is 213340203242393. The next prime is 213340203242417. The reversal of 213340203242400 is 4242302043312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283575537 + ... + 284326863.

It is an arithmetic number, because the mean of its divisors is an integer number (1369520678400).

Almost surely, 2^{213340203242400} is an apocalyptic number.

213340203242400 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 213340203242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394421955379200).

213340203242400 is an abundant number, since it is smaller than the sum of its proper divisors (575503707516000).

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

213340203242400 is a wasteful number, since it uses less digits than its factorization.

213340203242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751861 (or 751848 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 213340203242400 its reverse (4242302043312), we get a palindrome (217582505285712).

The spelling of 213340203242400 in words is "two hundred thirteen trillion, three hundred forty billion, two hundred three million, two hundred forty-two thousand, four hundred".