214420014224640 has 1080 divisors, whose sum is σ = 925418344435200. Its totient is φ = 46430743339008.

The previous prime is 214420014224569. The next prime is 214420014224651. The reversal of 214420014224640 is 46422410024412.

214420014224640 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 2 + 0 + 0 + 1 + 4 + 2 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 214420014224595 and 214420014224604.

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 119 ways as a sum of consecutive naturals, for example, 261590161 + ... + 262408559.

It is an arithmetic number, because the mean of its divisors is an integer number (856868837440).

Almost surely, 2^{214420014224640} is an apocalyptic number.

214420014224640 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 214420014224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462709172217600).

214420014224640 is an abundant number, since it is smaller than the sum of its proper divisors (710998330210560).

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

214420014224640 is an equidigital number, since it uses as much as digits as its factorization.

214420014224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818477 (or 818435 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 214420014224640 in words is "two hundred fourteen trillion, four hundred twenty billion, fourteen million, two hundred twenty-four thousand, six hundred forty".