213220420310400 has 768 divisors, whose sum is σ = 721685249812800. Its totient is φ = 55310745600000.

The previous prime is 213220420310273. The next prime is 213220420310449. The reversal of 213220420310400 is 4013024022312.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78131336236 + ... + 78131338964.

Almost surely, 2^{213220420310400} is an apocalyptic number.

213220420310400 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 213220420310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360842624906400).

213220420310400 is an abundant number, since it is smaller than the sum of its proper divisors (508464829502400).

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

213220420310400 is a wasteful number, since it uses less digits than its factorization.

213220420310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4222 counting only the distinct ones).

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

Adding to 213220420310400 its reverse (4013024022312), we get a palindrome (217233444332712).

The spelling of 213220420310400 in words is "two hundred thirteen trillion, two hundred twenty billion, four hundred twenty million, three hundred ten thousand, four hundred".