214311143341440 has 384 divisors, whose sum is σ = 742129938950400. Its totient is φ = 56988629913600.

The previous prime is 214311143341439. The next prime is 214311143341457. The reversal of 214311143341440 is 44143341113412.

214311143341440 is a `hidden beast` number, since 2 + 1 + 4 + 31 + 1 + 143 + 3 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214311143341395 and 214311143341404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4882781895 + ... + 4882825785.

It is an arithmetic number, because the mean of its divisors is an integer number (1932630049350).

Almost surely, 2^{214311143341440} is an apocalyptic number.

214311143341440 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 214311143341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371064969475200).

214311143341440 is an abundant number, since it is smaller than the sum of its proper divisors (527818795608960).

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

214311143341440 is a wasteful number, since it uses less digits than its factorization.

214311143341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46286 (or 46271 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 214311143341440 its reverse (44143341113412), we get a palindrome (258454484454852).

The spelling of 214311143341440 in words is "two hundred fourteen trillion, three hundred eleven billion, one hundred forty-three million, three hundred forty-one thousand, four hundred forty".