214400101432224 has 384 divisors, whose sum is σ = 588674642411520. Its totient is φ = 68273960140800.

The previous prime is 214400101432193. The next prime is 214400101432267. The reversal of 214400101432224 is 422234101004412.

It is a junction number, because it is equal to n+sod(n) for n = 214400101432191 and 214400101432200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22762507387 + ... + 22762516805.

It is an arithmetic number, because the mean of its divisors is an integer number (1533006881280).

Almost surely, 2^{214400101432224} is an apocalyptic number.

214400101432224 is a gapful number since it is divisible by the number (24) 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 214400101432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294337321205760).

214400101432224 is an abundant number, since it is smaller than the sum of its proper divisors (374274540979296).

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

214400101432224 is a wasteful number, since it uses less digits than its factorization.

214400101432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 214400101432224 its reverse (422234101004412), we get a palindrome (636634202436636).

The spelling of 214400101432224 in words is "two hundred fourteen trillion, four hundred billion, one hundred one million, four hundred thirty-two thousand, two hundred twenty-four".