214841341440 has 800 divisors, whose sum is σ = 847032215040. Its totient is φ = 51613286400.

The previous prime is 214841341427. The next prime is 214841341453. The reversal of 214841341440 is 44143148412.

214841341440 is a `hidden beast` number, since 2 + 1 + 4 + 84 + 134 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (214841341427) and next prime (214841341453).

It is a super-2 number, since 2×214841341440² (a number of 23 digits) contains 22 as substring.

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 = 214841341395 and 214841341404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 298805401 + ... + 298806119.

Almost surely, 2^214841341440 is an apocalyptic number.

214841341440 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 214841341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423516107520).

214841341440 is an abundant number, since it is smaller than the sum of its proper divisors (632190873600).

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

214841341440 is a wasteful number, since it uses less digits than its factorization.

214841341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 214841341440 its reverse (44143148412), we get a palindrome (258984489852).

The spelling of 214841341440 in words is "two hundred fourteen billion, eight hundred forty-one million, three hundred forty-one thousand, four hundred forty".