214312332240 has 240 divisors, whose sum is σ = 743620500480. Its totient is φ = 55256463360.

The previous prime is 214312332217. The next prime is 214312332253. The reversal of 214312332240 is 42233213412.

214312332240 is a `hidden beast` number, since 2 + 1 + 431 + 2 + 3 + 3 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×214312332240³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29079276 + ... + 29086644.

It is an arithmetic number, because the mean of its divisors is an integer number (3098418752).

Almost surely, 2^214312332240 is an apocalyptic number.

214312332240 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 214312332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371810250240).

214312332240 is an abundant number, since it is smaller than the sum of its proper divisors (529308168240).

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

214312332240 is a wasteful number, since it uses less digits than its factorization.

214312332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8713 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 214312332240 its reverse (42233213412), we get a palindrome (256545545652).

The spelling of 214312332240 in words is "two hundred fourteen billion, three hundred twelve million, three hundred thirty-two thousand, two hundred forty".