213422402002400 has 72 divisors (see below), whose sum is σ = 521019560192040. Its totient is φ = 85368613224960.

The previous prime is 213422402002391. The next prime is 213422402002417. The reversal of 213422402002400 is 4200204224312.

It is a self number, because there is not a number n which added to its sum of digits gives 213422402002400.

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 11 ways as a sum of consecutive naturals, for example, 299851742 + ... + 300562658.

It is an arithmetic number, because the mean of its divisors is an integer number (7236382780445).

Almost surely, 2^{213422402002400} is an apocalyptic number.

213422402002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213422402002400 is an abundant number, since it is smaller than the sum of its proper divisors (307597158189640).

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

213422402002400 is a wasteful number, since it uses less digits than its factorization.

213422402002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086196 (or 1086183 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 213422402002400 its reverse (4200204224312), we get a palindrome (217622606226712).

The spelling of 213422402002400 in words is "two hundred thirteen trillion, four hundred twenty-two billion, four hundred two million, two thousand, four hundred".