213204331002400 has 144 divisors (see below), whose sum is σ = 521509413761280. Its totient is φ = 85113997516800.

The previous prime is 213204331002337. The next prime is 213204331002437. The reversal of 213204331002400 is 4200133402312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1341174121 + ... + 1341333079.

It is an arithmetic number, because the mean of its divisors is an integer number (3621593151120).

Almost surely, 2^{213204331002400} is an apocalyptic number.

213204331002400 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 213204331002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260754706880640).

213204331002400 is an abundant number, since it is smaller than the sum of its proper divisors (308305082758880).

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

213204331002400 is a wasteful number, since it uses less digits than its factorization.

213204331002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162267 (or 162254 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 213204331002400 its reverse (4200133402312), we get a palindrome (217404464404712).

The spelling of 213204331002400 in words is "two hundred thirteen trillion, two hundred four billion, three hundred thirty-one million, two thousand, four hundred".