214245413440 has 28 divisors (see below), whose sum is σ = 510171891516. Its totient is φ = 85698165248.

The previous prime is 214245413383. The next prime is 214245413479. The reversal of 214245413440 is 44314542412.

It can be written as a sum of positive squares in 2 ways, for example, as 35681698816 + 178563714624 = 188896^2 + 422568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214245413396 and 214245413405.

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 3 ways as a sum of consecutive naturals, for example, 334758139 + ... + 334758778.

It is an arithmetic number, because the mean of its divisors is an integer number (18220424697).

Almost surely, 2^214245413440 is an apocalyptic number.

214245413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214245413440 is an abundant number, since it is smaller than the sum of its proper divisors (295926478076).

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

214245413440 is an equidigital number, since it uses as much as digits as its factorization.

214245413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669516934 (or 669516924 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 214245413440 its reverse (44314542412), we get a palindrome (258559955852).

The spelling of 214245413440 in words is "two hundred fourteen billion, two hundred forty-five million, four hundred thirteen thousand, four hundred forty".