214332141440 has 128 divisors (see below), whose sum is σ = 523034172000. Its totient is φ = 83962470400.

The previous prime is 214332141407. The next prime is 214332141461. The reversal of 214332141440 is 44141233412.

214332141440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10146890 + ... + 10167990.

Almost surely, 2^214332141440 is an apocalyptic number.

214332141440 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 214332141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261517086000).

214332141440 is an abundant number, since it is smaller than the sum of its proper divisors (308702030560).

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

214332141440 is a wasteful number, since it uses less digits than its factorization.

214332141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21448 (or 21436 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 214332141440 its reverse (44141233412), we get a palindrome (258473374852).

The spelling of 214332141440 in words is "two hundred fourteen billion, three hundred thirty-two million, one hundred forty-one thousand, four hundred forty".