214201244400 has 960 divisors, whose sum is σ = 863170753536. Its totient is φ = 44605440000.

The previous prime is 214201244359. The next prime is 214201244401. The reversal of 214201244400 is 4442102412.

214201244400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214201244401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 294636837 + ... + 294637563.

Almost surely, 2^214201244400 is an apocalyptic number.

214201244400 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 214201244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431585376768).

214201244400 is an abundant number, since it is smaller than the sum of its proper divisors (648969509136).

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

214201244400 is a wasteful number, since it uses less digits than its factorization.

214201244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 214201244400 its reverse (4442102412), we get a palindrome (218643346812).

The spelling of 214201244400 in words is "two hundred fourteen billion, two hundred one million, two hundred forty-four thousand, four hundred".