214045124240 has 20 divisors (see below), whose sum is σ = 497654914044. Its totient is φ = 85618049664.

The previous prime is 214045124149. The next prime is 214045124257. The reversal of 214045124240 is 42421540412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104838668944 + 109206455296 = 323788^2 + 330464^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 1337781947 + ... + 1337782106.

Almost surely, 2^214045124240 is an apocalyptic number.

214045124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214045124240 is an abundant number, since it is smaller than the sum of its proper divisors (283609789804).

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

214045124240 is a wasteful number, since it uses less digits than its factorization.

214045124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675564066 (or 2675564060 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 214045124240 its reverse (42421540412), we get a palindrome (256466664652).

The spelling of 214045124240 in words is "two hundred fourteen billion, forty-five million, one hundred twenty-four thousand, two hundred forty".