213422134412400 has 240 divisors, whose sum is σ = 685703884821120. Its totient is φ = 56742862668800.

The previous prime is 213422134412387. The next prime is 213422134412407. The reversal of 213422134412400 is 4214431224312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213422134412407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539918830 + ... + 540313970.

It is an arithmetic number, because the mean of its divisors is an integer number (2857099520088).

Almost surely, 2^{213422134412400} is an apocalyptic number.

213422134412400 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 213422134412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342851942410560).

213422134412400 is an abundant number, since it is smaller than the sum of its proper divisors (472281750408720).

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

213422134412400 is a wasteful number, since it uses less digits than its factorization.

213422134412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396504 (or 396493 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 213422134412400 its reverse (4214431224312), we get a palindrome (217636565636712).

The spelling of 213422134412400 in words is "two hundred thirteen trillion, four hundred twenty-two billion, one hundred thirty-four million, four hundred twelve thousand, four hundred".