214044230400 has 2592 divisors, whose sum is σ = 1014525566208. Its totient is φ = 39016857600.

The previous prime is 214044230381. The next prime is 214044230423. The reversal of 214044230400 is 4032440412.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4977772779 + ... + 4977772821.

Almost surely, 2^214044230400 is an apocalyptic number.

214044230400 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 214044230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507262783104).

214044230400 is an abundant number, since it is smaller than the sum of its proper divisors (800481335808).

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

214044230400 is a wasteful number, since it uses less digits than its factorization.

214044230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214044230400 its reverse (4032440412), we get a palindrome (218076670812).

It can be divided in two parts, 214044 and 230400, that added together give a palindrome (444444).

The spelling of 214044230400 in words is "two hundred fourteen billion, forty-four million, two hundred thirty thousand, four hundred".