214232303123440 has 320 divisors, whose sum is σ = 597788596224000. Its totient is φ = 69849209364480.

The previous prime is 214232303123431. The next prime is 214232303123471. The reversal of 214232303123440 is 44321303232412.

It is a junction number, because it is equal to n+sod(n) for n = 214232303123396 and 214232303123405.

It is a congruent number.

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, 524526505 + ... + 524934775.

It is an arithmetic number, because the mean of its divisors is an integer number (1868089363200).

Almost surely, 2^{214232303123440} is an apocalyptic number.

214232303123440 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 214232303123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298894298112000).

214232303123440 is an abundant number, since it is smaller than the sum of its proper divisors (383556293100560).

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

214232303123440 is a wasteful number, since it uses less digits than its factorization.

214232303123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408808 (or 408802 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 214232303123440 its reverse (44321303232412), we get a palindrome (258553606355852).

The spelling of 214232303123440 in words is "two hundred fourteen trillion, two hundred thirty-two billion, three hundred three million, one hundred twenty-three thousand, four hundred forty".