212440442400 has 216 divisors, whose sum is σ = 749967092784. Its totient is φ = 56586585600.

The previous prime is 212440442399. The next prime is 212440442429. The reversal of 212440442400 is 4244044212.

212440442400 is a `hidden beast` number, since 2 + 12 + 4 + 404 + 4 + 240 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6514135 + ... + 6546665.

It is an arithmetic number, because the mean of its divisors is an integer number (3472069874).

Almost surely, 2^212440442400 is an apocalyptic number.

212440442400 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 212440442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374983546392).

212440442400 is an abundant number, since it is smaller than the sum of its proper divisors (537526650384).

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

212440442400 is a wasteful number, since it uses less digits than its factorization.

212440442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33464 (or 33448 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 212440442400 its reverse (4244044212), we get a palindrome (216684486612).

The spelling of 212440442400 in words is "two hundred twelve billion, four hundred forty million, four hundred forty-two thousand, four hundred".