212414014240 has 48 divisors (see below), whose sum is σ = 528240121920. Its totient is φ = 80493730560.

The previous prime is 212414014177. The next prime is 212414014283. The reversal of 212414014240 is 42410414212.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 34933476 + ... + 34939555.

It is an arithmetic number, because the mean of its divisors is an integer number (11005002540).

Almost surely, 2^212414014240 is an apocalyptic number.

212414014240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414014240 is an abundant number, since it is smaller than the sum of its proper divisors (315826107680).

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

212414014240 is a wasteful number, since it uses less digits than its factorization.

212414014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69873065 (or 69873057 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 212414014240 its reverse (42410414212), we get a palindrome (254824428452).

The spelling of 212414014240 in words is "two hundred twelve billion, four hundred fourteen million, fourteen thousand, two hundred forty".