212440342400 has 384 divisors, whose sum is σ = 620678086560. Its totient is φ = 70830489600.

The previous prime is 212440342399. The next prime is 212440342417. The reversal of 212440342400 is 4243044212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 212440342400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71841722 + ... + 71844678.

Almost surely, 2^212440342400 is an apocalyptic number.

212440342400 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 212440342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310339043280).

212440342400 is an abundant number, since it is smaller than the sum of its proper divisors (408237744160).

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

212440342400 is a wasteful number, since it uses less digits than its factorization.

212440342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3145 counting only the distinct ones).

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

Adding to 212440342400 its reverse (4243044212), we get a palindrome (216683386612).

The spelling of 212440342400 in words is "two hundred twelve billion, four hundred forty million, three hundred forty-two thousand, four hundred".